Finding the Third Proportional to 13,140 and 17,758

Step by Step Solution

1. Step 1: Write the proportion equation
   13,140 : 17,758 = 17,758 : x
2. Step 2: Convert to fraction form
   13,140/17,758 = 17,758/x
3. Step 3: Cross multiply
   13,140x = 17,758 × 17,758
4. Step 4: Simplify right side
   13,140x = 315,346,564
5. Step 5: Solve for x
   x = 315,346,564/13,140
6. Step 6: Final answer
   x = 23,998.98