Finding the Third Proportional to 12,406 and 17,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,406 : 17,686.50 = 17,686.50 : x
2. Step 2: Convert to fraction form
   12,406/17,686.50 = 17,686.50/x
3. Step 3: Cross multiply
   12,406x = 17,686.50 × 17,686.50
4. Step 4: Simplify right side
   12,406x = 312,812,282.25
5. Step 5: Solve for x
   x = 312,812,282.25/12,406
6. Step 6: Final answer
   x = 25,214.60