Finding the Third Proportional to 54,525 and 77,322

Step by Step Solution

1. Step 1: Write the proportion equation
   54,525 : 77,322 = 77,322 : x
2. Step 2: Convert to fraction form
   54,525/77,322 = 77,322/x
3. Step 3: Cross multiply
   54,525x = 77,322 × 77,322
4. Step 4: Simplify right side
   54,525x = 5,978,691,684
5. Step 5: Solve for x
   x = 5,978,691,684/54,525
6. Step 6: Final answer
   x = 109,650.47