Finding the Third Proportional to 33,008 and 72,037

Step by Step Solution

1. Step 1: Write the proportion equation
   33,008 : 72,037 = 72,037 : x
2. Step 2: Convert to fraction form
   33,008/72,037 = 72,037/x
3. Step 3: Cross multiply
   33,008x = 72,037 × 72,037
4. Step 4: Simplify right side
   33,008x = 5,189,329,369
5. Step 5: Solve for x
   x = 5,189,329,369/33,008
6. Step 6: Final answer
   x = 157,214.29