Finding the Third Proportional to 1,772.17 and 3,868.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,772.17 : 3,868.61 = 3,868.61 : x
2. Step 2: Convert to fraction form
   1,772.17/3,868.61 = 3,868.61/x
3. Step 3: Cross multiply
   1,772.17x = 3,868.61 × 3,868.61
4. Step 4: Simplify right side
   1,772.17x = 14,966,153.61
5. Step 5: Solve for x
   x = 14,966,153.61/1,772.17
6. Step 6: Final answer
   x = 8,445.08