Finding the Third Proportional to 10,077.75 and 13,726.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 13,726.13 = 13,726.13 : x
2. Step 2: Convert to fraction form
   10,077.75/13,726.13 = 13,726.13/x
3. Step 3: Cross multiply
   10,077.75x = 13,726.13 × 13,726.13
4. Step 4: Simplify right side
   10,077.75x = 188,406,507.52
5. Step 5: Solve for x
   x = 188,406,507.52/10,077.75
6. Step 6: Final answer
   x = 18,695.29