Finding the Third Proportional to 30,172 and 32,906

Step by Step Solution

1. Step 1: Write the proportion equation
   30,172 : 32,906 = 32,906 : x
2. Step 2: Convert to fraction form
   30,172/32,906 = 32,906/x
3. Step 3: Cross multiply
   30,172x = 32,906 × 32,906
4. Step 4: Simplify right side
   30,172x = 1,082,804,836
5. Step 5: Solve for x
   x = 1,082,804,836/30,172
6. Step 6: Final answer
   x = 35,887.74