Finding the Third Proportional to 16,110 and 34,646

Step by Step Solution

1. Step 1: Write the proportion equation
   16,110 : 34,646 = 34,646 : x
2. Step 2: Convert to fraction form
   16,110/34,646 = 34,646/x
3. Step 3: Cross multiply
   16,110x = 34,646 × 34,646
4. Step 4: Simplify right side
   16,110x = 1,200,345,316
5. Step 5: Solve for x
   x = 1,200,345,316/16,110
6. Step 6: Final answer
   x = 74,509.33