Finding the Third Proportional to 1,042.50 and 2,301

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.50 : 2,301 = 2,301 : x
2. Step 2: Convert to fraction form
   1,042.50/2,301 = 2,301/x
3. Step 3: Cross multiply
   1,042.50x = 2,301 × 2,301
4. Step 4: Simplify right side
   1,042.50x = 5,294,601
5. Step 5: Solve for x
   x = 5,294,601/1,042.50
6. Step 6: Final answer
   x = 5,078.75