Finding the Third Proportional to 1,476.56 and 2,296.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,476.56 : 2,296.69 = 2,296.69 : x
2. Step 2: Convert to fraction form
   1,476.56/2,296.69 = 2,296.69/x
3. Step 3: Cross multiply
   1,476.56x = 2,296.69 × 2,296.69
4. Step 4: Simplify right side
   1,476.56x = 5,274,773.47
5. Step 5: Solve for x
   x = 5,274,773.47/1,476.56
6. Step 6: Final answer
   x = 3,572.33