Finding the Third Proportional to 1,692,134,343,414 and 3,716,693,037,144

Step by Step Solution

1. Step 1: Write the proportion equation
   1,692,134,343,414 : 3,716,693,037,144 = 3,716,693,037,144 : x
2. Step 2: Convert to fraction form
   1,692,134,343,414/3,716,693,037,144 = 3,716,693,037,144/x
3. Step 3: Cross multiply
   1,692,134,343,414x = 3,716,693,037,144 × 3,716,693,037,144
4. Step 4: Simplify right side
   1,692,134,343,414x = 13,813,807,132,354,689,913,323,520
5. Step 5: Solve for x
   x = 13,813,807,132,354,689,913,323,520/1,692,134,343,414
6. Step 6: Final answer
   x = 8,163,540,434,079.46