Finding the Third Proportional to 32,840 and 72,592

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 72,592 = 72,592 : x
2. Step 2: Convert to fraction form
   32,840/72,592 = 72,592/x
3. Step 3: Cross multiply
   32,840x = 72,592 × 72,592
4. Step 4: Simplify right side
   32,840x = 5,269,598,464
5. Step 5: Solve for x
   x = 5,269,598,464/32,840
6. Step 6: Final answer
   x = 160,462.80