Finding the Third Proportional to 39,436 and 59,564

Step by Step Solution

1. Step 1: Write the proportion equation
   39,436 : 59,564 = 59,564 : x
2. Step 2: Convert to fraction form
   39,436/59,564 = 59,564/x
3. Step 3: Cross multiply
   39,436x = 59,564 × 59,564
4. Step 4: Simplify right side
   39,436x = 3,547,870,096
5. Step 5: Solve for x
   x = 3,547,870,096/39,436
6. Step 6: Final answer
   x = 89,965.26