Finding the Third Proportional to 1,566 and 2,302.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566 : 2,302.59 = 2,302.59 : x
2. Step 2: Convert to fraction form
   1,566/2,302.59 = 2,302.59/x
3. Step 3: Cross multiply
   1,566x = 2,302.59 × 2,302.59
4. Step 4: Simplify right side
   1,566x = 5,301,937.98
5. Step 5: Solve for x
   x = 5,301,937.98/1,566
6. Step 6: Final answer
   x = 3,385.66