Finding the Third Proportional to 13,858.31 and 20,766.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,858.31 : 20,766.09 = 20,766.09 : x
2. Step 2: Convert to fraction form
   13,858.31/20,766.09 = 20,766.09/x
3. Step 3: Cross multiply
   13,858.31x = 20,766.09 × 20,766.09
4. Step 4: Simplify right side
   13,858.31x = 431,230,649.63
5. Step 5: Solve for x
   x = 431,230,649.63/13,858.31
6. Step 6: Final answer
   x = 31,117.11