Finding the Third Proportional to 21,200 and 37,648

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 37,648 = 37,648 : x
2. Step 2: Convert to fraction form
   21,200/37,648 = 37,648/x
3. Step 3: Cross multiply
   21,200x = 37,648 × 37,648
4. Step 4: Simplify right side
   21,200x = 1,417,371,904
5. Step 5: Solve for x
   x = 1,417,371,904/21,200
6. Step 6: Final answer
   x = 66,857.17