Finding the Third Proportional to 13,780.13 and 21,900.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780.13 : 21,900.38 = 21,900.38 : x
2. Step 2: Convert to fraction form
   13,780.13/21,900.38 = 21,900.38/x
3. Step 3: Cross multiply
   13,780.13x = 21,900.38 × 21,900.38
4. Step 4: Simplify right side
   13,780.13x = 479,626,425.14
5. Step 5: Solve for x
   x = 479,626,425.14/13,780.13
6. Step 6: Final answer
   x = 34,805.67