Finding the Third Proportional to 1,566 and 3,503.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566 : 3,503.25 = 3,503.25 : x
2. Step 2: Convert to fraction form
   1,566/3,503.25 = 3,503.25/x
3. Step 3: Cross multiply
   1,566x = 3,503.25 × 3,503.25
4. Step 4: Simplify right side
   1,566x = 12,272,760.56
5. Step 5: Solve for x
   x = 12,272,760.56/1,566
6. Step 6: Final answer
   x = 7,837.01