Finding the Third Proportional to 16,838.50 and 26,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,838.50 : 26,146.50 = 26,146.50 : x
2. Step 2: Convert to fraction form
   16,838.50/26,146.50 = 26,146.50/x
3. Step 3: Cross multiply
   16,838.50x = 26,146.50 × 26,146.50
4. Step 4: Simplify right side
   16,838.50x = 683,639,462.25
5. Step 5: Solve for x
   x = 683,639,462.25/16,838.50
6. Step 6: Final answer
   x = 40,599.78