Finding the Third Proportional to 35,874 and 73,208

Step by Step Solution

1. Step 1: Write the proportion equation
   35,874 : 73,208 = 73,208 : x
2. Step 2: Convert to fraction form
   35,874/73,208 = 73,208/x
3. Step 3: Cross multiply
   35,874x = 73,208 × 73,208
4. Step 4: Simplify right side
   35,874x = 5,359,411,264
5. Step 5: Solve for x
   x = 5,359,411,264/35,874
6. Step 6: Final answer
   x = 149,395.42