Finding the Third Proportional to 15,154 and 32,414

Step by Step Solution

1. Step 1: Write the proportion equation
   15,154 : 32,414 = 32,414 : x
2. Step 2: Convert to fraction form
   15,154/32,414 = 32,414/x
3. Step 3: Cross multiply
   15,154x = 32,414 × 32,414
4. Step 4: Simplify right side
   15,154x = 1,050,667,396
5. Step 5: Solve for x
   x = 1,050,667,396/15,154
6. Step 6: Final answer
   x = 69,332.68