Finding the Third Proportional to 59,613 and 82,644

Step by Step Solution

1. Step 1: Write the proportion equation
   59,613 : 82,644 = 82,644 : x
2. Step 2: Convert to fraction form
   59,613/82,644 = 82,644/x
3. Step 3: Cross multiply
   59,613x = 82,644 × 82,644
4. Step 4: Simplify right side
   59,613x = 6,830,030,736
5. Step 5: Solve for x
   x = 6,830,030,736/59,613
6. Step 6: Final answer
   x = 114,572.84