Finding the Third Proportional to 12,265 and 19,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,265 : 19,429.50 = 19,429.50 : x
2. Step 2: Convert to fraction form
   12,265/19,429.50 = 19,429.50/x
3. Step 3: Cross multiply
   12,265x = 19,429.50 × 19,429.50
4. Step 4: Simplify right side
   12,265x = 377,505,470.25
5. Step 5: Solve for x
   x = 377,505,470.25/12,265
6. Step 6: Final answer
   x = 30,779.08