Finding the Third Proportional to 13,780.13 and 21,814.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,780.13 : 21,814.31 = 21,814.31 : x
2. Step 2: Convert to fraction form
   13,780.13/21,814.31 = 21,814.31/x
3. Step 3: Cross multiply
   13,780.13x = 21,814.31 × 21,814.31
4. Step 4: Simplify right side
   13,780.13x = 475,864,229.85
5. Step 5: Solve for x
   x = 475,864,229.85/13,780.13
6. Step 6: Final answer
   x = 34,532.65