Finding the Third Proportional to 35,614 and 55,364

Step by Step Solution

1. Step 1: Write the proportion equation
   35,614 : 55,364 = 55,364 : x
2. Step 2: Convert to fraction form
   35,614/55,364 = 55,364/x
3. Step 3: Cross multiply
   35,614x = 55,364 × 55,364
4. Step 4: Simplify right side
   35,614x = 3,065,172,496
5. Step 5: Solve for x
   x = 3,065,172,496/35,614
6. Step 6: Final answer
   x = 86,066.50