Finding the Third Proportional to 1,070.25 and 1,445.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,070.25 : 1,445.63 = 1,445.63 : x
2. Step 2: Convert to fraction form
   1,070.25/1,445.63 = 1,445.63/x
3. Step 3: Cross multiply
   1,070.25x = 1,445.63 × 1,445.63
4. Step 4: Simplify right side
   1,070.25x = 2,089,831.64
5. Step 5: Solve for x
   x = 2,089,831.64/1,070.25
6. Step 6: Final answer
   x = 1,952.66