Finding the Third Proportional to 31,513 and 48,788

Step by Step Solution

1. Step 1: Write the proportion equation
   31,513 : 48,788 = 48,788 : x
2. Step 2: Convert to fraction form
   31,513/48,788 = 48,788/x
3. Step 3: Cross multiply
   31,513x = 48,788 × 48,788
4. Step 4: Simplify right side
   31,513x = 2,380,268,944
5. Step 5: Solve for x
   x = 2,380,268,944/31,513
6. Step 6: Final answer
   x = 75,532.92