Finding the Third Proportional to 34,080 and 72,288

Step by Step Solution

1. Step 1: Write the proportion equation
   34,080 : 72,288 = 72,288 : x
2. Step 2: Convert to fraction form
   34,080/72,288 = 72,288/x
3. Step 3: Cross multiply
   34,080x = 72,288 × 72,288
4. Step 4: Simplify right side
   34,080x = 5,225,554,944
5. Step 5: Solve for x
   x = 5,225,554,944/34,080
6. Step 6: Final answer
   x = 153,332.01