Finding the Third Proportional to 33,480 and 57,024

Step by Step Solution

1. Step 1: Write the proportion equation
   33,480 : 57,024 = 57,024 : x
2. Step 2: Convert to fraction form
   33,480/57,024 = 57,024/x
3. Step 3: Cross multiply
   33,480x = 57,024 × 57,024
4. Step 4: Simplify right side
   33,480x = 3,251,736,576
5. Step 5: Solve for x
   x = 3,251,736,576/33,480
6. Step 6: Final answer
   x = 97,124.75