Finding the Third Proportional to 10,088 and 15,892

Step by Step Solution

1. Step 1: Write the proportion equation
   10,088 : 15,892 = 15,892 : x
2. Step 2: Convert to fraction form
   10,088/15,892 = 15,892/x
3. Step 3: Cross multiply
   10,088x = 15,892 × 15,892
4. Step 4: Simplify right side
   10,088x = 252,555,664
5. Step 5: Solve for x
   x = 252,555,664/10,088
6. Step 6: Final answer
   x = 25,035.26