Finding the Third Proportional to 4,842 and 10,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,842 : 10,265.50 = 10,265.50 : x
2. Step 2: Convert to fraction form
   4,842/10,265.50 = 10,265.50/x
3. Step 3: Cross multiply
   4,842x = 10,265.50 × 10,265.50
4. Step 4: Simplify right side
   4,842x = 105,380,490.25
5. Step 5: Solve for x
   x = 105,380,490.25/4,842
6. Step 6: Final answer
   x = 21,763.84