Finding the Third Proportional to 42,768 and 61,605

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 61,605 = 61,605 : x
2. Step 2: Convert to fraction form
   42,768/61,605 = 61,605/x
3. Step 3: Cross multiply
   42,768x = 61,605 × 61,605
4. Step 4: Simplify right side
   42,768x = 3,795,176,025
5. Step 5: Solve for x
   x = 3,795,176,025/42,768
6. Step 6: Final answer
   x = 88,738.68