Finding the Third Proportional to 13,848 and 20,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,848 : 20,827.50 = 20,827.50 : x
2. Step 2: Convert to fraction form
   13,848/20,827.50 = 20,827.50/x
3. Step 3: Cross multiply
   13,848x = 20,827.50 × 20,827.50
4. Step 4: Simplify right side
   13,848x = 433,784,756.25
5. Step 5: Solve for x
   x = 433,784,756.25/13,848
6. Step 6: Final answer
   x = 31,324.72