Finding the Third Proportional to 1,301.25 and 2,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.25 : 2,710.50 = 2,710.50 : x
2. Step 2: Convert to fraction form
   1,301.25/2,710.50 = 2,710.50/x
3. Step 3: Cross multiply
   1,301.25x = 2,710.50 × 2,710.50
4. Step 4: Simplify right side
   1,301.25x = 7,346,810.25
5. Step 5: Solve for x
   x = 7,346,810.25/1,301.25
6. Step 6: Final answer
   x = 5,645.96