Finding the Third Proportional to 12,097.50 and 18,691.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,097.50 : 18,691.25 = 18,691.25 : x
2. Step 2: Convert to fraction form
   12,097.50/18,691.25 = 18,691.25/x
3. Step 3: Cross multiply
   12,097.50x = 18,691.25 × 18,691.25
4. Step 4: Simplify right side
   12,097.50x = 349,362,826.56
5. Step 5: Solve for x
   x = 349,362,826.56/12,097.50
6. Step 6: Final answer
   x = 28,878.93