Finding the Third Proportional to 40,878 and 56,292

Step by Step Solution

1. Step 1: Write the proportion equation
   40,878 : 56,292 = 56,292 : x
2. Step 2: Convert to fraction form
   40,878/56,292 = 56,292/x
3. Step 3: Cross multiply
   40,878x = 56,292 × 56,292
4. Step 4: Simplify right side
   40,878x = 3,168,789,264
5. Step 5: Solve for x
   x = 3,168,789,264/40,878
6. Step 6: Final answer
   x = 77,518.21