Finding the Third Proportional to 42,795 and 61,642

Step by Step Solution

1. Step 1: Write the proportion equation
   42,795 : 61,642 = 61,642 : x
2. Step 2: Convert to fraction form
   42,795/61,642 = 61,642/x
3. Step 3: Cross multiply
   42,795x = 61,642 × 61,642
4. Step 4: Simplify right side
   42,795x = 3,799,736,164
5. Step 5: Solve for x
   x = 3,799,736,164/42,795
6. Step 6: Final answer
   x = 88,789.25