Finding the Third Proportional to 32,384.25 and 69,645.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,384.25 : 69,645.75 = 69,645.75 : x
2. Step 2: Convert to fraction form
   32,384.25/69,645.75 = 69,645.75/x
3. Step 3: Cross multiply
   32,384.25x = 69,645.75 × 69,645.75
4. Step 4: Simplify right side
   32,384.25x = 4,850,530,493.06
5. Step 5: Solve for x
   x = 4,850,530,493.06/32,384.25
6. Step 6: Final answer
   x = 149,780.54