Finding the Third Proportional to 9,892.50 and 13,896.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.50 : 13,896.75 = 13,896.75 : x
2. Step 2: Convert to fraction form
   9,892.50/13,896.75 = 13,896.75/x
3. Step 3: Cross multiply
   9,892.50x = 13,896.75 × 13,896.75
4. Step 4: Simplify right side
   9,892.50x = 193,119,660.56
5. Step 5: Solve for x
   x = 193,119,660.56/9,892.50
6. Step 6: Final answer
   x = 19,521.83