Finding the Third Proportional to 31,164 and 49,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164 : 49,540.50 = 49,540.50 : x
2. Step 2: Convert to fraction form
   31,164/49,540.50 = 49,540.50/x
3. Step 3: Cross multiply
   31,164x = 49,540.50 × 49,540.50
4. Step 4: Simplify right side
   31,164x = 2,454,261,140.25
5. Step 5: Solve for x
   x = 2,454,261,140.25/31,164
6. Step 6: Final answer
   x = 78,753.08