Finding the Third Proportional to 35,581.50 and 76,806

Step by Step Solution

1. Step 1: Write the proportion equation
   35,581.50 : 76,806 = 76,806 : x
2. Step 2: Convert to fraction form
   35,581.50/76,806 = 76,806/x
3. Step 3: Cross multiply
   35,581.50x = 76,806 × 76,806
4. Step 4: Simplify right side
   35,581.50x = 5,899,161,636
5. Step 5: Solve for x
   x = 5,899,161,636/35,581.50
6. Step 6: Final answer
   x = 165,792.94