Finding the Third Proportional to 1,662.50 and 3,615.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662.50 : 3,615.25 = 3,615.25 : x
2. Step 2: Convert to fraction form
   1,662.50/3,615.25 = 3,615.25/x
3. Step 3: Cross multiply
   1,662.50x = 3,615.25 × 3,615.25
4. Step 4: Simplify right side
   1,662.50x = 13,070,032.56
5. Step 5: Solve for x
   x = 13,070,032.56/1,662.50
6. Step 6: Final answer
   x = 7,861.67