Finding the Third Proportional to 34,128 and 52,280

Step by Step Solution

1. Step 1: Write the proportion equation
   34,128 : 52,280 = 52,280 : x
2. Step 2: Convert to fraction form
   34,128/52,280 = 52,280/x
3. Step 3: Cross multiply
   34,128x = 52,280 × 52,280
4. Step 4: Simplify right side
   34,128x = 2,733,198,400
5. Step 5: Solve for x
   x = 2,733,198,400/34,128
6. Step 6: Final answer
   x = 80,086.69