Finding the Third Proportional to 1,009.69 and 1,566.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.69 : 1,566.28 = 1,566.28 : x
2. Step 2: Convert to fraction form
   1,009.69/1,566.28 = 1,566.28/x
3. Step 3: Cross multiply
   1,009.69x = 1,566.28 × 1,566.28
4. Step 4: Simplify right side
   1,009.69x = 2,453,236.95
5. Step 5: Solve for x
   x = 2,453,236.95/1,009.69
6. Step 6: Final answer
   x = 2,429.70