Finding the Third Proportional to 33,762 and 74,007

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762 : 74,007 = 74,007 : x
2. Step 2: Convert to fraction form
   33,762/74,007 = 74,007/x
3. Step 3: Cross multiply
   33,762x = 74,007 × 74,007
4. Step 4: Simplify right side
   33,762x = 5,477,036,049
5. Step 5: Solve for x
   x = 5,477,036,049/33,762
6. Step 6: Final answer
   x = 162,224.87