Finding the Third Proportional to 32,627 and 71,998

Step by Step Solution

1. Step 1: Write the proportion equation
   32,627 : 71,998 = 71,998 : x
2. Step 2: Convert to fraction form
   32,627/71,998 = 71,998/x
3. Step 3: Cross multiply
   32,627x = 71,998 × 71,998
4. Step 4: Simplify right side
   32,627x = 5,183,712,004
5. Step 5: Solve for x
   x = 5,183,712,004/32,627
6. Step 6: Final answer
   x = 158,877.98