Finding the Third Proportional to 31,270 and 49,132

Step by Step Solution

1. Step 1: Write the proportion equation
   31,270 : 49,132 = 49,132 : x
2. Step 2: Convert to fraction form
   31,270/49,132 = 49,132/x
3. Step 3: Cross multiply
   31,270x = 49,132 × 49,132
4. Step 4: Simplify right side
   31,270x = 2,413,953,424
5. Step 5: Solve for x
   x = 2,413,953,424/31,270
6. Step 6: Final answer
   x = 77,197.10