Finding the Third Proportional to 32,694.75 and 69,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,694.75 : 69,313.50 = 69,313.50 : x
2. Step 2: Convert to fraction form
   32,694.75/69,313.50 = 69,313.50/x
3. Step 3: Cross multiply
   32,694.75x = 69,313.50 × 69,313.50
4. Step 4: Simplify right side
   32,694.75x = 4,804,361,282.25
5. Step 5: Solve for x
   x = 4,804,361,282.25/32,694.75
6. Step 6: Final answer
   x = 146,945.96