Finding the Third Proportional to 33,584 and 51,428

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 51,428 = 51,428 : x
2. Step 2: Convert to fraction form
   33,584/51,428 = 51,428/x
3. Step 3: Cross multiply
   33,584x = 51,428 × 51,428
4. Step 4: Simplify right side
   33,584x = 2,644,839,184
5. Step 5: Solve for x
   x = 2,644,839,184/33,584
6. Step 6: Final answer
   x = 78,752.95