Finding the Third Proportional to 31,110 and 47,961

Step by Step Solution

1. Step 1: Write the proportion equation
   31,110 : 47,961 = 47,961 : x
2. Step 2: Convert to fraction form
   31,110/47,961 = 47,961/x
3. Step 3: Cross multiply
   31,110x = 47,961 × 47,961
4. Step 4: Simplify right side
   31,110x = 2,300,257,521
5. Step 5: Solve for x
   x = 2,300,257,521/31,110
6. Step 6: Final answer
   x = 73,939.49