Finding the Third Proportional to 21,424 and 37,664

Step by Step Solution

1. Step 1: Write the proportion equation
   21,424 : 37,664 = 37,664 : x
2. Step 2: Convert to fraction form
   21,424/37,664 = 37,664/x
3. Step 3: Cross multiply
   21,424x = 37,664 × 37,664
4. Step 4: Simplify right side
   21,424x = 1,418,576,896
5. Step 5: Solve for x
   x = 1,418,576,896/21,424
6. Step 6: Final answer
   x = 66,214.38