Finding the Third Proportional to 2,117 and 3,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,117 : 3,256.50 = 3,256.50 : x
2. Step 2: Convert to fraction form
   2,117/3,256.50 = 3,256.50/x
3. Step 3: Cross multiply
   2,117x = 3,256.50 × 3,256.50
4. Step 4: Simplify right side
   2,117x = 10,604,792.25
5. Step 5: Solve for x
   x = 10,604,792.25/2,117
6. Step 6: Final answer
   x = 5,009.35