Finding the Third Proportional to 59,664 and 83,636

Step by Step Solution

1. Step 1: Write the proportion equation
   59,664 : 83,636 = 83,636 : x
2. Step 2: Convert to fraction form
   59,664/83,636 = 83,636/x
3. Step 3: Cross multiply
   59,664x = 83,636 × 83,636
4. Step 4: Simplify right side
   59,664x = 6,994,980,496
5. Step 5: Solve for x
   x = 6,994,980,496/59,664
6. Step 6: Final answer
   x = 117,239.55