Finding the Third Proportional to 10,777.50 and 17,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.50 : 17,138.25 = 17,138.25 : x
2. Step 2: Convert to fraction form
   10,777.50/17,138.25 = 17,138.25/x
3. Step 3: Cross multiply
   10,777.50x = 17,138.25 × 17,138.25
4. Step 4: Simplify right side
   10,777.50x = 293,719,613.06
5. Step 5: Solve for x
   x = 293,719,613.06/10,777.50
6. Step 6: Final answer
   x = 27,253.04