Finding the Third Proportional to 32,509.50 and 69,869.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,509.50 : 69,869.25 = 69,869.25 : x
2. Step 2: Convert to fraction form
   32,509.50/69,869.25 = 69,869.25/x
3. Step 3: Cross multiply
   32,509.50x = 69,869.25 × 69,869.25
4. Step 4: Simplify right side
   32,509.50x = 4,881,712,095.56
5. Step 5: Solve for x
   x = 4,881,712,095.56/32,509.50
6. Step 6: Final answer
   x = 150,162.63