Finding the Third Proportional to 8,106 and 12,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,106 : 12,167.50 = 12,167.50 : x
2. Step 2: Convert to fraction form
   8,106/12,167.50 = 12,167.50/x
3. Step 3: Cross multiply
   8,106x = 12,167.50 × 12,167.50
4. Step 4: Simplify right side
   8,106x = 148,048,056.25
5. Step 5: Solve for x
   x = 148,048,056.25/8,106
6. Step 6: Final answer
   x = 18,264.01