Finding the Third Proportional to 31,140 and 48,976

Step by Step Solution

1. Step 1: Write the proportion equation
   31,140 : 48,976 = 48,976 : x
2. Step 2: Convert to fraction form
   31,140/48,976 = 48,976/x
3. Step 3: Cross multiply
   31,140x = 48,976 × 48,976
4. Step 4: Simplify right side
   31,140x = 2,398,648,576
5. Step 5: Solve for x
   x = 2,398,648,576/31,140
6. Step 6: Final answer
   x = 77,027.89