Finding the Third Proportional to 32,978 and 71,140

Step by Step Solution

1. Step 1: Write the proportion equation
   32,978 : 71,140 = 71,140 : x
2. Step 2: Convert to fraction form
   32,978/71,140 = 71,140/x
3. Step 3: Cross multiply
   32,978x = 71,140 × 71,140
4. Step 4: Simplify right side
   32,978x = 5,060,899,600
5. Step 5: Solve for x
   x = 5,060,899,600/32,978
6. Step 6: Final answer
   x = 153,462.90