Finding the Third Proportional to 32,834 and 71,614

Step by Step Solution

1. Step 1: Write the proportion equation
   32,834 : 71,614 = 71,614 : x
2. Step 2: Convert to fraction form
   32,834/71,614 = 71,614/x
3. Step 3: Cross multiply
   32,834x = 71,614 × 71,614
4. Step 4: Simplify right side
   32,834x = 5,128,564,996
5. Step 5: Solve for x
   x = 5,128,564,996/32,834
6. Step 6: Final answer
   x = 156,196.78