Finding the Third Proportional to 16,266 and 23,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,266 : 23,779.50 = 23,779.50 : x
2. Step 2: Convert to fraction form
   16,266/23,779.50 = 23,779.50/x
3. Step 3: Cross multiply
   16,266x = 23,779.50 × 23,779.50
4. Step 4: Simplify right side
   16,266x = 565,464,620.25
5. Step 5: Solve for x
   x = 565,464,620.25/16,266
6. Step 6: Final answer
   x = 34,763.59