Finding the Third Proportional to 16,306 and 35,506

Step by Step Solution

1. Step 1: Write the proportion equation
   16,306 : 35,506 = 35,506 : x
2. Step 2: Convert to fraction form
   16,306/35,506 = 35,506/x
3. Step 3: Cross multiply
   16,306x = 35,506 × 35,506
4. Step 4: Simplify right side
   16,306x = 1,260,676,036
5. Step 5: Solve for x
   x = 1,260,676,036/16,306
6. Step 6: Final answer
   x = 77,313.63