Finding the Third Proportional to 9,848 and 14,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,848 : 14,738.50 = 14,738.50 : x
2. Step 2: Convert to fraction form
   9,848/14,738.50 = 14,738.50/x
3. Step 3: Cross multiply
   9,848x = 14,738.50 × 14,738.50
4. Step 4: Simplify right side
   9,848x = 217,223,382.25
5. Step 5: Solve for x
   x = 217,223,382.25/9,848
6. Step 6: Final answer
   x = 22,057.61