Finding the Third Proportional to 1,207.50 and 2,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,207.50 : 2,870.25 = 2,870.25 : x
2. Step 2: Convert to fraction form
   1,207.50/2,870.25 = 2,870.25/x
3. Step 3: Cross multiply
   1,207.50x = 2,870.25 × 2,870.25
4. Step 4: Simplify right side
   1,207.50x = 8,238,335.06
5. Step 5: Solve for x
   x = 8,238,335.06/1,207.50
6. Step 6: Final answer
   x = 6,822.64