Finding the Third Proportional to 35,912 and 73,414

Step by Step Solution

1. Step 1: Write the proportion equation
   35,912 : 73,414 = 73,414 : x
2. Step 2: Convert to fraction form
   35,912/73,414 = 73,414/x
3. Step 3: Cross multiply
   35,912x = 73,414 × 73,414
4. Step 4: Simplify right side
   35,912x = 5,389,615,396
5. Step 5: Solve for x
   x = 5,389,615,396/35,912
6. Step 6: Final answer
   x = 150,078.40