Finding the Third Proportional to 645.47 and 1,410.33

Step by Step Solution

1. Step 1: Write the proportion equation
   645.47 : 1,410.33 = 1,410.33 : x
2. Step 2: Convert to fraction form
   645.47/1,410.33 = 1,410.33/x
3. Step 3: Cross multiply
   645.47x = 1,410.33 × 1,410.33
4. Step 4: Simplify right side
   645.47x = 1,989,025.42
5. Step 5: Solve for x
   x = 1,989,025.42/645.47
6. Step 6: Final answer
   x = 3,081.52