Finding the Third Proportional to 16,401 and 35,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,401 : 35,722.50 = 35,722.50 : x
2. Step 2: Convert to fraction form
   16,401/35,722.50 = 35,722.50/x
3. Step 3: Cross multiply
   16,401x = 35,722.50 × 35,722.50
4. Step 4: Simplify right side
   16,401x = 1,276,097,006.25
5. Step 5: Solve for x
   x = 1,276,097,006.25/16,401
6. Step 6: Final answer
   x = 77,806.05