Finding the Third Proportional to 16,120 and 23,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,120 : 23,872.50 = 23,872.50 : x
2. Step 2: Convert to fraction form
   16,120/23,872.50 = 23,872.50/x
3. Step 3: Cross multiply
   16,120x = 23,872.50 × 23,872.50
4. Step 4: Simplify right side
   16,120x = 569,896,256.25
5. Step 5: Solve for x
   x = 569,896,256.25/16,120
6. Step 6: Final answer
   x = 35,353.37