Finding the Third Proportional to 3,694.50 and 7,868.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,694.50 : 7,868.25 = 7,868.25 : x
2. Step 2: Convert to fraction form
   3,694.50/7,868.25 = 7,868.25/x
3. Step 3: Cross multiply
   3,694.50x = 7,868.25 × 7,868.25
4. Step 4: Simplify right side
   3,694.50x = 61,909,358.06
5. Step 5: Solve for x
   x = 61,909,358.06/3,694.50
6. Step 6: Final answer
   x = 16,757.17