Finding the Third Proportional to 33,654 and 71,716

Step by Step Solution

1. Step 1: Write the proportion equation
   33,654 : 71,716 = 71,716 : x
2. Step 2: Convert to fraction form
   33,654/71,716 = 71,716/x
3. Step 3: Cross multiply
   33,654x = 71,716 × 71,716
4. Step 4: Simplify right side
   33,654x = 5,143,184,656
5. Step 5: Solve for x
   x = 5,143,184,656/33,654
6. Step 6: Final answer
   x = 152,825.36