Finding the Third Proportional to 32,624 and 71,992

Step by Step Solution

1. Step 1: Write the proportion equation
   32,624 : 71,992 = 71,992 : x
2. Step 2: Convert to fraction form
   32,624/71,992 = 71,992/x
3. Step 3: Cross multiply
   32,624x = 71,992 × 71,992
4. Step 4: Simplify right side
   32,624x = 5,182,848,064
5. Step 5: Solve for x
   x = 5,182,848,064/32,624
6. Step 6: Final answer
   x = 158,866.11