Finding the Third Proportional to 40,294 and 56,643

Step by Step Solution

1. Step 1: Write the proportion equation
   40,294 : 56,643 = 56,643 : x
2. Step 2: Convert to fraction form
   40,294/56,643 = 56,643/x
3. Step 3: Cross multiply
   40,294x = 56,643 × 56,643
4. Step 4: Simplify right side
   40,294x = 3,208,429,449
5. Step 5: Solve for x
   x = 3,208,429,449/40,294
6. Step 6: Final answer
   x = 79,625.49