Finding the Third Proportional to 35,384 and 76,906

Step by Step Solution

1. Step 1: Write the proportion equation
   35,384 : 76,906 = 76,906 : x
2. Step 2: Convert to fraction form
   35,384/76,906 = 76,906/x
3. Step 3: Cross multiply
   35,384x = 76,906 × 76,906
4. Step 4: Simplify right side
   35,384x = 5,914,532,836
5. Step 5: Solve for x
   x = 5,914,532,836/35,384
6. Step 6: Final answer
   x = 167,152.75