Finding the Third Proportional to 13,804 and 20,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,804 : 20,962.50 = 20,962.50 : x
2. Step 2: Convert to fraction form
   13,804/20,962.50 = 20,962.50/x
3. Step 3: Cross multiply
   13,804x = 20,962.50 × 20,962.50
4. Step 4: Simplify right side
   13,804x = 439,426,406.25
5. Step 5: Solve for x
   x = 439,426,406.25/13,804
6. Step 6: Final answer
   x = 31,833.27