Finding the Third Proportional to 35,111 and 76,790

Step by Step Solution

1. Step 1: Write the proportion equation
   35,111 : 76,790 = 76,790 : x
2. Step 2: Convert to fraction form
   35,111/76,790 = 76,790/x
3. Step 3: Cross multiply
   35,111x = 76,790 × 76,790
4. Step 4: Simplify right side
   35,111x = 5,896,704,100
5. Step 5: Solve for x
   x = 5,896,704,100/35,111
6. Step 6: Final answer
   x = 167,944.64