Finding the Third Proportional to 14,813 and 35,414

Step by Step Solution

1. Step 1: Write the proportion equation
   14,813 : 35,414 = 35,414 : x
2. Step 2: Convert to fraction form
   14,813/35,414 = 35,414/x
3. Step 3: Cross multiply
   14,813x = 35,414 × 35,414
4. Step 4: Simplify right side
   14,813x = 1,254,151,396
5. Step 5: Solve for x
   x = 1,254,151,396/14,813
6. Step 6: Final answer
   x = 84,665.59