Finding the Third Proportional to 16,407 and 35,646

Step by Step Solution

1. Step 1: Write the proportion equation
   16,407 : 35,646 = 35,646 : x
2. Step 2: Convert to fraction form
   16,407/35,646 = 35,646/x
3. Step 3: Cross multiply
   16,407x = 35,646 × 35,646
4. Step 4: Simplify right side
   16,407x = 1,270,637,316
5. Step 5: Solve for x
   x = 1,270,637,316/16,407
6. Step 6: Final answer
   x = 77,444.83