Finding the Third Proportional to 32,535 and 69,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,535 : 69,997.50 = 69,997.50 : x
2. Step 2: Convert to fraction form
   32,535/69,997.50 = 69,997.50/x
3. Step 3: Cross multiply
   32,535x = 69,997.50 × 69,997.50
4. Step 4: Simplify right side
   32,535x = 4,899,650,006.25
5. Step 5: Solve for x
   x = 4,899,650,006.25/32,535
6. Step 6: Final answer
   x = 150,596.28