Finding the Third Proportional to 59,636 and 83,588

Step by Step Solution

1. Step 1: Write the proportion equation
   59,636 : 83,588 = 83,588 : x
2. Step 2: Convert to fraction form
   59,636/83,588 = 83,588/x
3. Step 3: Cross multiply
   59,636x = 83,588 × 83,588
4. Step 4: Simplify right side
   59,636x = 6,986,953,744
5. Step 5: Solve for x
   x = 6,986,953,744/59,636
6. Step 6: Final answer
   x = 117,160.00