Finding the Third Proportional to 1,071.50 and 1,172.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,071.50 : 1,172.75 = 1,172.75 : x
2. Step 2: Convert to fraction form
   1,071.50/1,172.75 = 1,172.75/x
3. Step 3: Cross multiply
   1,071.50x = 1,172.75 × 1,172.75
4. Step 4: Simplify right side
   1,071.50x = 1,375,342.56
5. Step 5: Solve for x
   x = 1,375,342.56/1,071.50
6. Step 6: Final answer
   x = 1,283.57