Finding the Third Proportional to 16,299.50 and 35,597

Step by Step Solution

1. Step 1: Write the proportion equation
   16,299.50 : 35,597 = 35,597 : x
2. Step 2: Convert to fraction form
   16,299.50/35,597 = 35,597/x
3. Step 3: Cross multiply
   16,299.50x = 35,597 × 35,597
4. Step 4: Simplify right side
   16,299.50x = 1,267,146,409
5. Step 5: Solve for x
   x = 1,267,146,409/16,299.50
6. Step 6: Final answer
   x = 77,741.43