Finding the Third Proportional to 6,105.38 and 11,345.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.38 : 11,345.06 = 11,345.06 : x
2. Step 2: Convert to fraction form
   6,105.38/11,345.06 = 11,345.06/x
3. Step 3: Cross multiply
   6,105.38x = 11,345.06 × 11,345.06
4. Step 4: Simplify right side
   6,105.38x = 128,710,443.13
5. Step 5: Solve for x
   x = 128,710,443.13/6,105.38
6. Step 6: Final answer
   x = 21,081.50