Finding the Third Proportional to 32,138.65 and 69,198.05

Step by Step Solution

1. Step 1: Write the proportion equation
   32,138.65 : 69,198.05 = 69,198.05 : x
2. Step 2: Convert to fraction form
   32,138.65/69,198.05 = 69,198.05/x
3. Step 3: Cross multiply
   32,138.65x = 69,198.05 × 69,198.05
4. Step 4: Simplify right side
   32,138.65x = 4,788,369,691.31
5. Step 5: Solve for x
   x = 4,788,369,691.31/32,138.65
6. Step 6: Final answer
   x = 148,991.01