Finding the Third Proportional to 33,316 and 72,066

Step by Step Solution

1. Step 1: Write the proportion equation
   33,316 : 72,066 = 72,066 : x
2. Step 2: Convert to fraction form
   33,316/72,066 = 72,066/x
3. Step 3: Cross multiply
   33,316x = 72,066 × 72,066
4. Step 4: Simplify right side
   33,316x = 5,193,508,356
5. Step 5: Solve for x
   x = 5,193,508,356/33,316
6. Step 6: Final answer
   x = 155,886.31