Finding the Third Proportional to 31,142 and 45,561

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142 : 45,561 = 45,561 : x
2. Step 2: Convert to fraction form
   31,142/45,561 = 45,561/x
3. Step 3: Cross multiply
   31,142x = 45,561 × 45,561
4. Step 4: Simplify right side
   31,142x = 2,075,804,721
5. Step 5: Solve for x
   x = 2,075,804,721/31,142
6. Step 6: Final answer
   x = 66,656.11