Finding the Third Proportional to 31,293 and 49,177.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,293 : 49,177.50 = 49,177.50 : x
2. Step 2: Convert to fraction form
   31,293/49,177.50 = 49,177.50/x
3. Step 3: Cross multiply
   31,293x = 49,177.50 × 49,177.50
4. Step 4: Simplify right side
   31,293x = 2,418,426,506.25
5. Step 5: Solve for x
   x = 2,418,426,506.25/31,293
6. Step 6: Final answer
   x = 77,283.31