Finding the Third Proportional to 16,410 and 35,153

Step by Step Solution

1. Step 1: Write the proportion equation
   16,410 : 35,153 = 35,153 : x
2. Step 2: Convert to fraction form
   16,410/35,153 = 35,153/x
3. Step 3: Cross multiply
   16,410x = 35,153 × 35,153
4. Step 4: Simplify right side
   16,410x = 1,235,733,409
5. Step 5: Solve for x
   x = 1,235,733,409/16,410
6. Step 6: Final answer
   x = 75,303.68