Finding the Third Proportional to 1,566.38 and 1,870.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.38 : 1,870.13 = 1,870.13 : x
2. Step 2: Convert to fraction form
   1,566.38/1,870.13 = 1,870.13/x
3. Step 3: Cross multiply
   1,566.38x = 1,870.13 × 1,870.13
4. Step 4: Simplify right side
   1,566.38x = 3,497,367.52
5. Step 5: Solve for x
   x = 3,497,367.52/1,566.38
6. Step 6: Final answer
   x = 2,232.78