Finding the Third Proportional to 35,633 and 76,916

Step by Step Solution

1. Step 1: Write the proportion equation
   35,633 : 76,916 = 76,916 : x
2. Step 2: Convert to fraction form
   35,633/76,916 = 76,916/x
3. Step 3: Cross multiply
   35,633x = 76,916 × 76,916
4. Step 4: Simplify right side
   35,633x = 5,916,071,056
5. Step 5: Solve for x
   x = 5,916,071,056/35,633
6. Step 6: Final answer
   x = 166,027.87