Finding the Third Proportional to 1,157.06 and 1,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,157.06 : 1,282.50 = 1,282.50 : x
2. Step 2: Convert to fraction form
   1,157.06/1,282.50 = 1,282.50/x
3. Step 3: Cross multiply
   1,157.06x = 1,282.50 × 1,282.50
4. Step 4: Simplify right side
   1,157.06x = 1,644,806.25
5. Step 5: Solve for x
   x = 1,644,806.25/1,157.06
6. Step 6: Final answer
   x = 1,421.54