Finding the Third Proportional to 31,278 and 48,540

Step by Step Solution

1. Step 1: Write the proportion equation
   31,278 : 48,540 = 48,540 : x
2. Step 2: Convert to fraction form
   31,278/48,540 = 48,540/x
3. Step 3: Cross multiply
   31,278x = 48,540 × 48,540
4. Step 4: Simplify right side
   31,278x = 2,356,131,600
5. Step 5: Solve for x
   x = 2,356,131,600/31,278
6. Step 6: Final answer
   x = 75,328.72