Finding the Third Proportional to 12,406.50 and 20,584.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,406.50 : 20,584.13 = 20,584.13 : x
2. Step 2: Convert to fraction form
   12,406.50/20,584.13 = 20,584.13/x
3. Step 3: Cross multiply
   12,406.50x = 20,584.13 × 20,584.13
4. Step 4: Simplify right side
   12,406.50x = 423,706,202.02
5. Step 5: Solve for x
   x = 423,706,202.02/12,406.50
6. Step 6: Final answer
   x = 34,151.95