Finding the Third Proportional to 6,022.69 and 12,641.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,022.69 : 12,641.06 = 12,641.06 : x
2. Step 2: Convert to fraction form
   6,022.69/12,641.06 = 12,641.06/x
3. Step 3: Cross multiply
   6,022.69x = 12,641.06 × 12,641.06
4. Step 4: Simplify right side
   6,022.69x = 159,796,461.13
5. Step 5: Solve for x
   x = 159,796,461.13/6,022.69
6. Step 6: Final answer
   x = 26,532.42