Finding the Third Proportional to 1,148.50 and 2,312

Step by Step Solution

1. Step 1: Write the proportion equation
   1,148.50 : 2,312 = 2,312 : x
2. Step 2: Convert to fraction form
   1,148.50/2,312 = 2,312/x
3. Step 3: Cross multiply
   1,148.50x = 2,312 × 2,312
4. Step 4: Simplify right side
   1,148.50x = 5,345,344
5. Step 5: Solve for x
   x = 5,345,344/1,148.50
6. Step 6: Final answer
   x = 4,654.20