Finding the Third Proportional to 49,848 and 86,004

Step by Step Solution

1. Step 1: Write the proportion equation
   49,848 : 86,004 = 86,004 : x
2. Step 2: Convert to fraction form
   49,848/86,004 = 86,004/x
3. Step 3: Cross multiply
   49,848x = 86,004 × 86,004
4. Step 4: Simplify right side
   49,848x = 7,396,688,016
5. Step 5: Solve for x
   x = 7,396,688,016/49,848
6. Step 6: Final answer
   x = 148,384.85