Finding the Third Proportional to 12,420 and 13,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,420 : 13,459.50 = 13,459.50 : x
2. Step 2: Convert to fraction form
   12,420/13,459.50 = 13,459.50/x
3. Step 3: Cross multiply
   12,420x = 13,459.50 × 13,459.50
4. Step 4: Simplify right side
   12,420x = 181,158,140.25
5. Step 5: Solve for x
   x = 181,158,140.25/12,420
6. Step 6: Final answer
   x = 14,586.00