Finding the Third Proportional to 10,988 and 17,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,988 : 17,027.50 = 17,027.50 : x
2. Step 2: Convert to fraction form
   10,988/17,027.50 = 17,027.50/x
3. Step 3: Cross multiply
   10,988x = 17,027.50 × 17,027.50
4. Step 4: Simplify right side
   10,988x = 289,935,756.25
5. Step 5: Solve for x
   x = 289,935,756.25/10,988
6. Step 6: Final answer
   x = 26,386.58