Finding the Third Proportional to 31,655 and 49,013

Step by Step Solution

1. Step 1: Write the proportion equation
   31,655 : 49,013 = 49,013 : x
2. Step 2: Convert to fraction form
   31,655/49,013 = 49,013/x
3. Step 3: Cross multiply
   31,655x = 49,013 × 49,013
4. Step 4: Simplify right side
   31,655x = 2,402,274,169
5. Step 5: Solve for x
   x = 2,402,274,169/31,655
6. Step 6: Final answer
   x = 75,889.25