Finding the Third Proportional to 16,506 and 35,316

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 35,316 = 35,316 : x
2. Step 2: Convert to fraction form
   16,506/35,316 = 35,316/x
3. Step 3: Cross multiply
   16,506x = 35,316 × 35,316
4. Step 4: Simplify right side
   16,506x = 1,247,219,856
5. Step 5: Solve for x
   x = 1,247,219,856/16,506
6. Step 6: Final answer
   x = 75,561.61