Finding the Third Proportional to 12,006 and 26,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,006 : 26,164.50 = 26,164.50 : x
2. Step 2: Convert to fraction form
   12,006/26,164.50 = 26,164.50/x
3. Step 3: Cross multiply
   12,006x = 26,164.50 × 26,164.50
4. Step 4: Simplify right side
   12,006x = 684,581,060.25
5. Step 5: Solve for x
   x = 684,581,060.25/12,006
6. Step 6: Final answer
   x = 57,019.91