Finding the Third Proportional to 16,005 and 23,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,005 : 23,701.50 = 23,701.50 : x
2. Step 2: Convert to fraction form
   16,005/23,701.50 = 23,701.50/x
3. Step 3: Cross multiply
   16,005x = 23,701.50 × 23,701.50
4. Step 4: Simplify right side
   16,005x = 561,761,102.25
5. Step 5: Solve for x
   x = 561,761,102.25/16,005
6. Step 6: Final answer
   x = 35,099.10