Finding the Third Proportional to 40,384 and 59,424

Step by Step Solution

1. Step 1: Write the proportion equation
   40,384 : 59,424 = 59,424 : x
2. Step 2: Convert to fraction form
   40,384/59,424 = 59,424/x
3. Step 3: Cross multiply
   40,384x = 59,424 × 59,424
4. Step 4: Simplify right side
   40,384x = 3,531,211,776
5. Step 5: Solve for x
   x = 3,531,211,776/40,384
6. Step 6: Final answer
   x = 87,440.86