Finding the Third Proportional to 40,597 and 63,774

Step by Step Solution

1. Step 1: Write the proportion equation
   40,597 : 63,774 = 63,774 : x
2. Step 2: Convert to fraction form
   40,597/63,774 = 63,774/x
3. Step 3: Cross multiply
   40,597x = 63,774 × 63,774
4. Step 4: Simplify right side
   40,597x = 4,067,123,076
5. Step 5: Solve for x
   x = 4,067,123,076/40,597
6. Step 6: Final answer
   x = 100,182.85