Finding the Third Proportional to 52,788 and 77,451

Step by Step Solution

1. Step 1: Write the proportion equation
   52,788 : 77,451 = 77,451 : x
2. Step 2: Convert to fraction form
   52,788/77,451 = 77,451/x
3. Step 3: Cross multiply
   52,788x = 77,451 × 77,451
4. Step 4: Simplify right side
   52,788x = 5,998,657,401
5. Step 5: Solve for x
   x = 5,998,657,401/52,788
6. Step 6: Final answer
   x = 113,636.76