Finding the Third Proportional to 42,774 and 61,614

Step by Step Solution

1. Step 1: Write the proportion equation
   42,774 : 61,614 = 61,614 : x
2. Step 2: Convert to fraction form
   42,774/61,614 = 61,614/x
3. Step 3: Cross multiply
   42,774x = 61,614 × 61,614
4. Step 4: Simplify right side
   42,774x = 3,796,284,996
5. Step 5: Solve for x
   x = 3,796,284,996/42,774
6. Step 6: Final answer
   x = 88,752.16