Finding the Third Proportional to 35,406 and 76,716

Step by Step Solution

1. Step 1: Write the proportion equation
   35,406 : 76,716 = 76,716 : x
2. Step 2: Convert to fraction form
   35,406/76,716 = 76,716/x
3. Step 3: Cross multiply
   35,406x = 76,716 × 76,716
4. Step 4: Simplify right side
   35,406x = 5,885,344,656
5. Step 5: Solve for x
   x = 5,885,344,656/35,406
6. Step 6: Final answer
   x = 166,224.50