Finding the Third Proportional to 6,167 and 12,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,167 : 12,563.50 = 12,563.50 : x
2. Step 2: Convert to fraction form
   6,167/12,563.50 = 12,563.50/x
3. Step 3: Cross multiply
   6,167x = 12,563.50 × 12,563.50
4. Step 4: Simplify right side
   6,167x = 157,841,532.25
5. Step 5: Solve for x
   x = 157,841,532.25/6,167
6. Step 6: Final answer
   x = 25,594.54