Finding the Third Proportional to 31,954.50 and 69,741

Step by Step Solution

1. Step 1: Write the proportion equation
   31,954.50 : 69,741 = 69,741 : x
2. Step 2: Convert to fraction form
   31,954.50/69,741 = 69,741/x
3. Step 3: Cross multiply
   31,954.50x = 69,741 × 69,741
4. Step 4: Simplify right side
   31,954.50x = 4,863,807,081
5. Step 5: Solve for x
   x = 4,863,807,081/31,954.50
6. Step 6: Final answer
   x = 152,210.40