Finding the Third Proportional to 59,619 and 83,562

Step by Step Solution

1. Step 1: Write the proportion equation
   59,619 : 83,562 = 83,562 : x
2. Step 2: Convert to fraction form
   59,619/83,562 = 83,562/x
3. Step 3: Cross multiply
   59,619x = 83,562 × 83,562
4. Step 4: Simplify right side
   59,619x = 6,982,607,844
5. Step 5: Solve for x
   x = 6,982,607,844/59,619
6. Step 6: Final answer
   x = 117,120.51