Finding the Third Proportional to 32,914 and 71,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,914 : 71,295.50 = 71,295.50 : x
2. Step 2: Convert to fraction form
   32,914/71,295.50 = 71,295.50/x
3. Step 3: Cross multiply
   32,914x = 71,295.50 × 71,295.50
4. Step 4: Simplify right side
   32,914x = 5,083,048,320.25
5. Step 5: Solve for x
   x = 5,083,048,320.25/32,914
6. Step 6: Final answer
   x = 154,434.23