Finding the Third Proportional to 3,848 and 5,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,848 : 5,970.50 = 5,970.50 : x
2. Step 2: Convert to fraction form
   3,848/5,970.50 = 5,970.50/x
3. Step 3: Cross multiply
   3,848x = 5,970.50 × 5,970.50
4. Step 4: Simplify right side
   3,848x = 35,646,870.25
5. Step 5: Solve for x
   x = 35,646,870.25/3,848
6. Step 6: Final answer
   x = 9,263.74