Finding the Third Proportional to 39,761 and 59,642

Step by Step Solution

1. Step 1: Write the proportion equation
   39,761 : 59,642 = 59,642 : x
2. Step 2: Convert to fraction form
   39,761/59,642 = 59,642/x
3. Step 3: Cross multiply
   39,761x = 59,642 × 59,642
4. Step 4: Simplify right side
   39,761x = 3,557,168,164
5. Step 5: Solve for x
   x = 3,557,168,164/39,761
6. Step 6: Final answer
   x = 89,463.75