Finding the Third Proportional to 31,150 and 73,128

Step by Step Solution

1. Step 1: Write the proportion equation
   31,150 : 73,128 = 73,128 : x
2. Step 2: Convert to fraction form
   31,150/73,128 = 73,128/x
3. Step 3: Cross multiply
   31,150x = 73,128 × 73,128
4. Step 4: Simplify right side
   31,150x = 5,347,704,384
5. Step 5: Solve for x
   x = 5,347,704,384/31,150
6. Step 6: Final answer
   x = 171,675.90