Finding the Third Proportional to 31,300 and 48,539

Step by Step Solution

1. Step 1: Write the proportion equation
   31,300 : 48,539 = 48,539 : x
2. Step 2: Convert to fraction form
   31,300/48,539 = 48,539/x
3. Step 3: Cross multiply
   31,300x = 48,539 × 48,539
4. Step 4: Simplify right side
   31,300x = 2,356,034,521
5. Step 5: Solve for x
   x = 2,356,034,521/31,300
6. Step 6: Final answer
   x = 75,272.67