Finding the Third Proportional to 19,419.75 and 27,820.13

Step by Step Solution

1. Step 1: Write the proportion equation
   19,419.75 : 27,820.13 = 27,820.13 : x
2. Step 2: Convert to fraction form
   19,419.75/27,820.13 = 27,820.13/x
3. Step 3: Cross multiply
   19,419.75x = 27,820.13 × 27,820.13
4. Step 4: Simplify right side
   19,419.75x = 773,959,355.02
5. Step 5: Solve for x
   x = 773,959,355.02/19,419.75
6. Step 6: Final answer
   x = 39,854.24