Finding the Third Proportional to 32,301 and 69,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,301 : 69,295.50 = 69,295.50 : x
2. Step 2: Convert to fraction form
   32,301/69,295.50 = 69,295.50/x
3. Step 3: Cross multiply
   32,301x = 69,295.50 × 69,295.50
4. Step 4: Simplify right side
   32,301x = 4,801,866,320.25
5. Step 5: Solve for x
   x = 4,801,866,320.25/32,301
6. Step 6: Final answer
   x = 148,659.99