Finding the Third Proportional to 33,032 and 72,332

Step by Step Solution

1. Step 1: Write the proportion equation
   33,032 : 72,332 = 72,332 : x
2. Step 2: Convert to fraction form
   33,032/72,332 = 72,332/x
3. Step 3: Cross multiply
   33,032x = 72,332 × 72,332
4. Step 4: Simplify right side
   33,032x = 5,231,918,224
5. Step 5: Solve for x
   x = 5,231,918,224/33,032
6. Step 6: Final answer
   x = 158,389.39