Finding the Third Proportional to 12,720 and 19,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,720 : 19,459.50 = 19,459.50 : x
2. Step 2: Convert to fraction form
   12,720/19,459.50 = 19,459.50/x
3. Step 3: Cross multiply
   12,720x = 19,459.50 × 19,459.50
4. Step 4: Simplify right side
   12,720x = 378,672,140.25
5. Step 5: Solve for x
   x = 378,672,140.25/12,720
6. Step 6: Final answer
   x = 29,769.82