Finding the Third Proportional to 31,930 and 74,576

Step by Step Solution

1. Step 1: Write the proportion equation
   31,930 : 74,576 = 74,576 : x
2. Step 2: Convert to fraction form
   31,930/74,576 = 74,576/x
3. Step 3: Cross multiply
   31,930x = 74,576 × 74,576
4. Step 4: Simplify right side
   31,930x = 5,561,579,776
5. Step 5: Solve for x
   x = 5,561,579,776/31,930
6. Step 6: Final answer
   x = 174,180.39