Finding the Third Proportional to 14,834 and 32,402

Step by Step Solution

1. Step 1: Write the proportion equation
   14,834 : 32,402 = 32,402 : x
2. Step 2: Convert to fraction form
   14,834/32,402 = 32,402/x
3. Step 3: Cross multiply
   14,834x = 32,402 × 32,402
4. Step 4: Simplify right side
   14,834x = 1,049,889,604
5. Step 5: Solve for x
   x = 1,049,889,604/14,834
6. Step 6: Final answer
   x = 70,775.89