Finding the Third Proportional to 2,127.50 and 3,110.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127.50 : 3,110.25 = 3,110.25 : x
2. Step 2: Convert to fraction form
   2,127.50/3,110.25 = 3,110.25/x
3. Step 3: Cross multiply
   2,127.50x = 3,110.25 × 3,110.25
4. Step 4: Simplify right side
   2,127.50x = 9,673,655.06
5. Step 5: Solve for x
   x = 9,673,655.06/2,127.50
6. Step 6: Final answer
   x = 4,546.96