Finding the Third Proportional to 31,077.75 and 49,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,077.75 : 49,288.50 = 49,288.50 : x
2. Step 2: Convert to fraction form
   31,077.75/49,288.50 = 49,288.50/x
3. Step 3: Cross multiply
   31,077.75x = 49,288.50 × 49,288.50
4. Step 4: Simplify right side
   31,077.75x = 2,429,356,232.25
5. Step 5: Solve for x
   x = 2,429,356,232.25/31,077.75
6. Step 6: Final answer
   x = 78,170.27