Finding the Third Proportional to 34,606 and 75,916

Step by Step Solution

1. Step 1: Write the proportion equation
   34,606 : 75,916 = 75,916 : x
2. Step 2: Convert to fraction form
   34,606/75,916 = 75,916/x
3. Step 3: Cross multiply
   34,606x = 75,916 × 75,916
4. Step 4: Simplify right side
   34,606x = 5,763,239,056
5. Step 5: Solve for x
   x = 5,763,239,056/34,606
6. Step 6: Final answer
   x = 166,538.72