Finding the Third Proportional to 1,406.74 and 1,572.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.74 : 1,572.86 = 1,572.86 : x
2. Step 2: Convert to fraction form
   1,406.74/1,572.86 = 1,572.86/x
3. Step 3: Cross multiply
   1,406.74x = 1,572.86 × 1,572.86
4. Step 4: Simplify right side
   1,406.74x = 2,473,874.33
5. Step 5: Solve for x
   x = 2,473,874.33/1,406.74
6. Step 6: Final answer
   x = 1,758.58