Finding the Third Proportional to 21,892.50 and 48,021.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,892.50 : 48,021.75 = 48,021.75 : x
2. Step 2: Convert to fraction form
   21,892.50/48,021.75 = 48,021.75/x
3. Step 3: Cross multiply
   21,892.50x = 48,021.75 × 48,021.75
4. Step 4: Simplify right side
   21,892.50x = 2,306,088,473.06
5. Step 5: Solve for x
   x = 2,306,088,473.06/21,892.50
6. Step 6: Final answer
   x = 105,336.92