Finding the Third Proportional to 31,117.50 and 49,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,117.50 : 49,475.25 = 49,475.25 : x
2. Step 2: Convert to fraction form
   31,117.50/49,475.25 = 49,475.25/x
3. Step 3: Cross multiply
   31,117.50x = 49,475.25 × 49,475.25
4. Step 4: Simplify right side
   31,117.50x = 2,447,800,362.56
5. Step 5: Solve for x
   x = 2,447,800,362.56/31,117.50
6. Step 6: Final answer
   x = 78,663.14