Finding the Third Proportional to 33,140 and 72,580

Step by Step Solution

1. Step 1: Write the proportion equation
   33,140 : 72,580 = 72,580 : x
2. Step 2: Convert to fraction form
   33,140/72,580 = 72,580/x
3. Step 3: Cross multiply
   33,140x = 72,580 × 72,580
4. Step 4: Simplify right side
   33,140x = 5,267,856,400
5. Step 5: Solve for x
   x = 5,267,856,400/33,140
6. Step 6: Final answer
   x = 158,957.65