Finding the Third Proportional to 13,780.13 and 22,168.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780.13 : 22,168.69 = 22,168.69 : x
2. Step 2: Convert to fraction form
   13,780.13/22,168.69 = 22,168.69/x
3. Step 3: Cross multiply
   13,780.13x = 22,168.69 × 22,168.69
4. Step 4: Simplify right side
   13,780.13x = 491,450,705.47
5. Step 5: Solve for x
   x = 491,450,705.47/13,780.13
6. Step 6: Final answer
   x = 35,663.73