Finding the Third Proportional to 13,280 and 23,088

Step by Step Solution

1. Step 1: Write the proportion equation
   13,280 : 23,088 = 23,088 : x
2. Step 2: Convert to fraction form
   13,280/23,088 = 23,088/x
3. Step 3: Cross multiply
   13,280x = 23,088 × 23,088
4. Step 4: Simplify right side
   13,280x = 533,055,744
5. Step 5: Solve for x
   x = 533,055,744/13,280
6. Step 6: Final answer
   x = 40,139.74