Finding the Third Proportional to 32,623.50 and 69,519.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,623.50 : 69,519.75 = 69,519.75 : x
2. Step 2: Convert to fraction form
   32,623.50/69,519.75 = 69,519.75/x
3. Step 3: Cross multiply
   32,623.50x = 69,519.75 × 69,519.75
4. Step 4: Simplify right side
   32,623.50x = 4,832,995,640.06
5. Step 5: Solve for x
   x = 4,832,995,640.06/32,623.50
6. Step 6: Final answer
   x = 148,144.61