Finding the Third Proportional to 12,346.38 and 17,642.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,346.38 : 17,642.63 = 17,642.63 : x
2. Step 2: Convert to fraction form
   12,346.38/17,642.63 = 17,642.63/x
3. Step 3: Cross multiply
   12,346.38x = 17,642.63 × 17,642.63
4. Step 4: Simplify right side
   12,346.38x = 311,262,216.89
5. Step 5: Solve for x
   x = 311,262,216.89/12,346.38
6. Step 6: Final answer
   x = 25,210.82