Finding the Third Proportional to 34,080 and 53,472

Step by Step Solution

1. Step 1: Write the proportion equation
   34,080 : 53,472 = 53,472 : x
2. Step 2: Convert to fraction form
   34,080/53,472 = 53,472/x
3. Step 3: Cross multiply
   34,080x = 53,472 × 53,472
4. Step 4: Simplify right side
   34,080x = 2,859,254,784
5. Step 5: Solve for x
   x = 2,859,254,784/34,080
6. Step 6: Final answer
   x = 83,898.32