Finding the Third Proportional to 13,872 and 18,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872 : 18,955.50 = 18,955.50 : x
2. Step 2: Convert to fraction form
   13,872/18,955.50 = 18,955.50/x
3. Step 3: Cross multiply
   13,872x = 18,955.50 × 18,955.50
4. Step 4: Simplify right side
   13,872x = 359,310,980.25
5. Step 5: Solve for x
   x = 359,310,980.25/13,872
6. Step 6: Final answer
   x = 25,901.89