Finding the Third Proportional to 11,814.19 and 16,826.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814.19 : 16,826.06 = 16,826.06 : x
2. Step 2: Convert to fraction form
   11,814.19/16,826.06 = 16,826.06/x
3. Step 3: Cross multiply
   11,814.19x = 16,826.06 × 16,826.06
4. Step 4: Simplify right side
   11,814.19x = 283,116,379.25
5. Step 5: Solve for x
   x = 283,116,379.25/11,814.19
6. Step 6: Final answer
   x = 23,964.10