Finding the Third Proportional to 10,496 and 17,088

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 17,088 = 17,088 : x
2. Step 2: Convert to fraction form
   10,496/17,088 = 17,088/x
3. Step 3: Cross multiply
   10,496x = 17,088 × 17,088
4. Step 4: Simplify right side
   10,496x = 291,999,744
5. Step 5: Solve for x
   x = 291,999,744/10,496
6. Step 6: Final answer
   x = 27,820.10