Finding the Third Proportional to 2,501.50 and 5,417

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.50 : 5,417 = 5,417 : x
2. Step 2: Convert to fraction form
   2,501.50/5,417 = 5,417/x
3. Step 3: Cross multiply
   2,501.50x = 5,417 × 5,417
4. Step 4: Simplify right side
   2,501.50x = 29,343,889
5. Step 5: Solve for x
   x = 29,343,889/2,501.50
6. Step 6: Final answer
   x = 11,730.52