Finding the Third Proportional to 1,566.84 and 2,894.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 2,894.06 = 2,894.06 : x
2. Step 2: Convert to fraction form
   1,566.84/2,894.06 = 2,894.06/x
3. Step 3: Cross multiply
   1,566.84x = 2,894.06 × 2,894.06
4. Step 4: Simplify right side
   1,566.84x = 8,375,597.75
5. Step 5: Solve for x
   x = 8,375,597.75/1,566.84
6. Step 6: Final answer
   x = 5,345.52