Finding the Third Proportional to 21,814.31 and 32,691.09

Step by Step Solution

1. Step 1: Write the proportion equation
   21,814.31 : 32,691.09 = 32,691.09 : x
2. Step 2: Convert to fraction form
   21,814.31/32,691.09 = 32,691.09/x
3. Step 3: Cross multiply
   21,814.31x = 32,691.09 × 32,691.09
4. Step 4: Simplify right side
   21,814.31x = 1,068,707,610.57
5. Step 5: Solve for x
   x = 1,068,707,610.57/21,814.31
6. Step 6: Final answer
   x = 48,991.12