Finding the Third Proportional to 32,259.50 and 69,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,259.50 : 69,462.75 = 69,462.75 : x
2. Step 2: Convert to fraction form
   32,259.50/69,462.75 = 69,462.75/x
3. Step 3: Cross multiply
   32,259.50x = 69,462.75 × 69,462.75
4. Step 4: Simplify right side
   32,259.50x = 4,825,073,637.56
5. Step 5: Solve for x
   x = 4,825,073,637.56/32,259.50
6. Step 6: Final answer
   x = 149,570.63