Finding the Third Proportional to 40,848 and 55,438

Step by Step Solution

1. Step 1: Write the proportion equation
   40,848 : 55,438 = 55,438 : x
2. Step 2: Convert to fraction form
   40,848/55,438 = 55,438/x
3. Step 3: Cross multiply
   40,848x = 55,438 × 55,438
4. Step 4: Simplify right side
   40,848x = 3,073,371,844
5. Step 5: Solve for x
   x = 3,073,371,844/40,848
6. Step 6: Final answer
   x = 75,239.22