Finding the Third Proportional to 35,714 and 73,066

Step by Step Solution

1. Step 1: Write the proportion equation
   35,714 : 73,066 = 73,066 : x
2. Step 2: Convert to fraction form
   35,714/73,066 = 73,066/x
3. Step 3: Cross multiply
   35,714x = 73,066 × 73,066
4. Step 4: Simplify right side
   35,714x = 5,338,640,356
5. Step 5: Solve for x
   x = 5,338,640,356/35,714
6. Step 6: Final answer
   x = 149,483.13