Finding the Third Proportional to 970.50 and 1,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   970.50 : 1,002.75 = 1,002.75 : x
2. Step 2: Convert to fraction form
   970.50/1,002.75 = 1,002.75/x
3. Step 3: Cross multiply
   970.50x = 1,002.75 × 1,002.75
4. Step 4: Simplify right side
   970.50x = 1,005,507.56
5. Step 5: Solve for x
   x = 1,005,507.56/970.50
6. Step 6: Final answer
   x = 1,036.07