Finding the Third Proportional to 12,005.25 and 17,700.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,005.25 : 17,700.75 = 17,700.75 : x
2. Step 2: Convert to fraction form
   12,005.25/17,700.75 = 17,700.75/x
3. Step 3: Cross multiply
   12,005.25x = 17,700.75 × 17,700.75
4. Step 4: Simplify right side
   12,005.25x = 313,316,550.56
5. Step 5: Solve for x
   x = 313,316,550.56/12,005.25
6. Step 6: Final answer
   x = 26,098.29