Finding the Third Proportional to 28,584 and 59,324

Step by Step Solution

1. Step 1: Write the proportion equation
   28,584 : 59,324 = 59,324 : x
2. Step 2: Convert to fraction form
   28,584/59,324 = 59,324/x
3. Step 3: Cross multiply
   28,584x = 59,324 × 59,324
4. Step 4: Simplify right side
   28,584x = 3,519,336,976
5. Step 5: Solve for x
   x = 3,519,336,976/28,584
6. Step 6: Final answer
   x = 123,122.62