Finding the Third Proportional to 27,384 and 42,488

Step by Step Solution

1. Step 1: Write the proportion equation
   27,384 : 42,488 = 42,488 : x
2. Step 2: Convert to fraction form
   27,384/42,488 = 42,488/x
3. Step 3: Cross multiply
   27,384x = 42,488 × 42,488
4. Step 4: Simplify right side
   27,384x = 1,805,230,144
5. Step 5: Solve for x
   x = 1,805,230,144/27,384
6. Step 6: Final answer
   x = 65,922.81