Finding the Third Proportional to 1,566.84 and 2,367.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 2,367.98 = 2,367.98 : x
2. Step 2: Convert to fraction form
   1,566.84/2,367.98 = 2,367.98/x
3. Step 3: Cross multiply
   1,566.84x = 2,367.98 × 2,367.98
4. Step 4: Simplify right side
   1,566.84x = 5,607,350.00
5. Step 5: Solve for x
   x = 5,607,350.00/1,566.84
6. Step 6: Final answer
   x = 3,578.76