Finding the Third Proportional to 59,076 and 79,582

Step by Step Solution

1. Step 1: Write the proportion equation
   59,076 : 79,582 = 79,582 : x
2. Step 2: Convert to fraction form
   59,076/79,582 = 79,582/x
3. Step 3: Cross multiply
   59,076x = 79,582 × 79,582
4. Step 4: Simplify right side
   59,076x = 6,333,294,724
5. Step 5: Solve for x
   x = 6,333,294,724/59,076
6. Step 6: Final answer
   x = 107,205.88