Finding the Third Proportional to 35,181 and 74,007

Step by Step Solution

1. Step 1: Write the proportion equation
   35,181 : 74,007 = 74,007 : x
2. Step 2: Convert to fraction form
   35,181/74,007 = 74,007/x
3. Step 3: Cross multiply
   35,181x = 74,007 × 74,007
4. Step 4: Simplify right side
   35,181x = 5,477,036,049
5. Step 5: Solve for x
   x = 5,477,036,049/35,181
6. Step 6: Final answer
   x = 155,681.65