Finding the Third Proportional to 31,083 and 49,294

Step by Step Solution

1. Step 1: Write the proportion equation
   31,083 : 49,294 = 49,294 : x
2. Step 2: Convert to fraction form
   31,083/49,294 = 49,294/x
3. Step 3: Cross multiply
   31,083x = 49,294 × 49,294
4. Step 4: Simplify right side
   31,083x = 2,429,898,436
5. Step 5: Solve for x
   x = 2,429,898,436/31,083
6. Step 6: Final answer
   x = 78,174.51