Finding the Third Proportional to 35,342 and 76,819

Step by Step Solution

1. Step 1: Write the proportion equation
   35,342 : 76,819 = 76,819 : x
2. Step 2: Convert to fraction form
   35,342/76,819 = 76,819/x
3. Step 3: Cross multiply
   35,342x = 76,819 × 76,819
4. Step 4: Simplify right side
   35,342x = 5,901,158,761
5. Step 5: Solve for x
   x = 5,901,158,761/35,342
6. Step 6: Final answer
   x = 166,972.97