Finding the Third Proportional to 3,643.73 and 7,862.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.73 : 7,862.06 = 7,862.06 : x
2. Step 2: Convert to fraction form
   3,643.73/7,862.06 = 7,862.06/x
3. Step 3: Cross multiply
   3,643.73x = 7,862.06 × 7,862.06
4. Step 4: Simplify right side
   3,643.73x = 61,812,026.75
5. Step 5: Solve for x
   x = 61,812,026.75/3,643.73
6. Step 6: Final answer
   x = 16,963.92