Finding the Third Proportional to 12,442.13 and 19,265.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,442.13 : 19,265.63 = 19,265.63 : x
2. Step 2: Convert to fraction form
   12,442.13/19,265.63 = 19,265.63/x
3. Step 3: Cross multiply
   12,442.13x = 19,265.63 × 19,265.63
4. Step 4: Simplify right side
   12,442.13x = 371,164,306.64
5. Step 5: Solve for x
   x = 371,164,306.64/12,442.13
6. Step 6: Final answer
   x = 29,831.26