Finding the Third Proportional to 31,646 and 69,608

Step by Step Solution

1. Step 1: Write the proportion equation
   31,646 : 69,608 = 69,608 : x
2. Step 2: Convert to fraction form
   31,646/69,608 = 69,608/x
3. Step 3: Cross multiply
   31,646x = 69,608 × 69,608
4. Step 4: Simplify right side
   31,646x = 4,845,273,664
5. Step 5: Solve for x
   x = 4,845,273,664/31,646
6. Step 6: Final answer
   x = 153,108.57