Finding the Third Proportional to 3,638.25 and 7,856.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.25 : 7,856.16 = 7,856.16 : x
2. Step 2: Convert to fraction form
   3,638.25/7,856.16 = 7,856.16/x
3. Step 3: Cross multiply
   3,638.25x = 7,856.16 × 7,856.16
4. Step 4: Simplify right side
   3,638.25x = 61,719,191.02
5. Step 5: Solve for x
   x = 61,719,191.02/3,638.25
6. Step 6: Final answer
   x = 16,963.98