Finding the Third Proportional to 13,380.19 and 20,419.59

Step by Step Solution

1. Step 1: Write the proportion equation
   13,380.19 : 20,419.59 = 20,419.59 : x
2. Step 2: Convert to fraction form
   13,380.19/20,419.59 = 20,419.59/x
3. Step 3: Cross multiply
   13,380.19x = 20,419.59 × 20,419.59
4. Step 4: Simplify right side
   13,380.19x = 416,959,808.92
5. Step 5: Solve for x
   x = 416,959,808.92/13,380.19
6. Step 6: Final answer
   x = 31,162.48