Finding the Third Proportional to 35,910 and 77,150.81

Step by Step Solution

1. Step 1: Write the proportion equation
   35,910 : 77,150.81 = 77,150.81 : x
2. Step 2: Convert to fraction form
   35,910/77,150.81 = 77,150.81/x
3. Step 3: Cross multiply
   35,910x = 77,150.81 × 77,150.81
4. Step 4: Simplify right side
   35,910x = 5,952,247,869.41
5. Step 5: Solve for x
   x = 5,952,247,869.41/35,910
6. Step 6: Final answer
   x = 165,754.61