Finding the Third Proportional to 8,411.34 and 12,641.06

Step by Step Solution

1. Step 1: Write the proportion equation
   8,411.34 : 12,641.06 = 12,641.06 : x
2. Step 2: Convert to fraction form
   8,411.34/12,641.06 = 12,641.06/x
3. Step 3: Cross multiply
   8,411.34x = 12,641.06 × 12,641.06
4. Step 4: Simplify right side
   8,411.34x = 159,796,461.13
5. Step 5: Solve for x
   x = 159,796,461.13/8,411.34
6. Step 6: Final answer
   x = 18,997.73