Finding the Third Proportional to 13,882.50 and 19,785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,882.50 : 19,785.34 = 19,785.34 : x
2. Step 2: Convert to fraction form
   13,882.50/19,785.34 = 19,785.34/x
3. Step 3: Cross multiply
   13,882.50x = 19,785.34 × 19,785.34
4. Step 4: Simplify right side
   13,882.50x = 391,459,827.31
5. Step 5: Solve for x
   x = 391,459,827.31/13,882.50
6. Step 6: Final answer
   x = 28,198.08