Finding the Third Proportional to 31,654.50 and 69,189

Step by Step Solution

1. Step 1: Write the proportion equation
   31,654.50 : 69,189 = 69,189 : x
2. Step 2: Convert to fraction form
   31,654.50/69,189 = 69,189/x
3. Step 3: Cross multiply
   31,654.50x = 69,189 × 69,189
4. Step 4: Simplify right side
   31,654.50x = 4,787,117,721
5. Step 5: Solve for x
   x = 4,787,117,721/31,654.50
6. Step 6: Final answer
   x = 151,230.24