Finding the Third Proportional to 2,513.81 and 5,312.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.81 : 5,312.25 = 5,312.25 : x
2. Step 2: Convert to fraction form
   2,513.81/5,312.25 = 5,312.25/x
3. Step 3: Cross multiply
   2,513.81x = 5,312.25 × 5,312.25
4. Step 4: Simplify right side
   2,513.81x = 28,220,000.06
5. Step 5: Solve for x
   x = 28,220,000.06/2,513.81
6. Step 6: Final answer
   x = 11,225.98