Finding the Third Proportional to 16,159 and 23,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,159 : 23,706.50 = 23,706.50 : x
2. Step 2: Convert to fraction form
   16,159/23,706.50 = 23,706.50/x
3. Step 3: Cross multiply
   16,159x = 23,706.50 × 23,706.50
4. Step 4: Simplify right side
   16,159x = 561,998,142.25
5. Step 5: Solve for x
   x = 561,998,142.25/16,159
6. Step 6: Final answer
   x = 34,779.26