Finding the Third Proportional to 42,666 and 59,676

Step by Step Solution

1. Step 1: Write the proportion equation
   42,666 : 59,676 = 59,676 : x
2. Step 2: Convert to fraction form
   42,666/59,676 = 59,676/x
3. Step 3: Cross multiply
   42,666x = 59,676 × 59,676
4. Step 4: Simplify right side
   42,666x = 3,561,224,976
5. Step 5: Solve for x
   x = 3,561,224,976/42,666
6. Step 6: Final answer
   x = 83,467.51