Finding the Third Proportional to 35,942 and 76,810

Step by Step Solution

1. Step 1: Write the proportion equation
   35,942 : 76,810 = 76,810 : x
2. Step 2: Convert to fraction form
   35,942/76,810 = 76,810/x
3. Step 3: Cross multiply
   35,942x = 76,810 × 76,810
4. Step 4: Simplify right side
   35,942x = 5,899,776,100
5. Step 5: Solve for x
   x = 5,899,776,100/35,942
6. Step 6: Final answer
   x = 164,147.13