Finding the Third Proportional to 12,811.50 and 18,146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,811.50 : 18,146.25 = 18,146.25 : x
2. Step 2: Convert to fraction form
   12,811.50/18,146.25 = 18,146.25/x
3. Step 3: Cross multiply
   12,811.50x = 18,146.25 × 18,146.25
4. Step 4: Simplify right side
   12,811.50x = 329,286,389.06
5. Step 5: Solve for x
   x = 329,286,389.06/12,811.50
6. Step 6: Final answer
   x = 25,702.41