Finding the Third Proportional to 19,514.81 and 40,414.13

Step by Step Solution

1. Step 1: Write the proportion equation
   19,514.81 : 40,414.13 = 40,414.13 : x
2. Step 2: Convert to fraction form
   19,514.81/40,414.13 = 40,414.13/x
3. Step 3: Cross multiply
   19,514.81x = 40,414.13 × 40,414.13
4. Step 4: Simplify right side
   19,514.81x = 1,633,301,499.52
5. Step 5: Solve for x
   x = 1,633,301,499.52/19,514.81
6. Step 6: Final answer
   x = 83,695.47