Finding the Third Proportional to 42,601 and 59,581

Step by Step Solution

1. Step 1: Write the proportion equation
   42,601 : 59,581 = 59,581 : x
2. Step 2: Convert to fraction form
   42,601/59,581 = 59,581/x
3. Step 3: Cross multiply
   42,601x = 59,581 × 59,581
4. Step 4: Simplify right side
   42,601x = 3,549,895,561
5. Step 5: Solve for x
   x = 3,549,895,561/42,601
6. Step 6: Final answer
   x = 83,328.93