Finding the Third Proportional to 2,138 and 3,263.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138 : 3,263.50 = 3,263.50 : x
2. Step 2: Convert to fraction form
   2,138/3,263.50 = 3,263.50/x
3. Step 3: Cross multiply
   2,138x = 3,263.50 × 3,263.50
4. Step 4: Simplify right side
   2,138x = 10,650,432.25
5. Step 5: Solve for x
   x = 10,650,432.25/2,138
6. Step 6: Final answer
   x = 4,981.49