Finding the Third Proportional to 12,345.38 and 17,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,345.38 : 17,641.50 = 17,641.50 : x
2. Step 2: Convert to fraction form
   12,345.38/17,641.50 = 17,641.50/x
3. Step 3: Cross multiply
   12,345.38x = 17,641.50 × 17,641.50
4. Step 4: Simplify right side
   12,345.38x = 311,222,522.25
5. Step 5: Solve for x
   x = 311,222,522.25/12,345.38
6. Step 6: Final answer
   x = 25,209.65