Finding the Third Proportional to 1,628.86 and 3,565.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,628.86 : 3,565.27 = 3,565.27 : x
2. Step 2: Convert to fraction form
   1,628.86/3,565.27 = 3,565.27/x
3. Step 3: Cross multiply
   1,628.86x = 3,565.27 × 3,565.27
4. Step 4: Simplify right side
   1,628.86x = 12,711,118.98
5. Step 5: Solve for x
   x = 12,711,118.98/1,628.86
6. Step 6: Final answer
   x = 7,803.69