Finding the Third Proportional to 31,946 and 49,035

Step by Step Solution

1. Step 1: Write the proportion equation
   31,946 : 49,035 = 49,035 : x
2. Step 2: Convert to fraction form
   31,946/49,035 = 49,035/x
3. Step 3: Cross multiply
   31,946x = 49,035 × 49,035
4. Step 4: Simplify right side
   31,946x = 2,404,431,225
5. Step 5: Solve for x
   x = 2,404,431,225/31,946
6. Step 6: Final answer
   x = 75,265.49