Finding the Third Proportional to 47,002 and 105,840

Step by Step Solution

1. Step 1: Write the proportion equation
   47,002 : 105,840 = 105,840 : x
2. Step 2: Convert to fraction form
   47,002/105,840 = 105,840/x
3. Step 3: Cross multiply
   47,002x = 105,840 × 105,840
4. Step 4: Simplify right side
   47,002x = 11,202,105,600
5. Step 5: Solve for x
   x = 11,202,105,600/47,002
6. Step 6: Final answer
   x = 238,332.53