Finding the Third Proportional to 31,164 and 49,014

Step by Step Solution

1. Step 1: Write the proportion equation
   31,164 : 49,014 = 49,014 : x
2. Step 2: Convert to fraction form
   31,164/49,014 = 49,014/x
3. Step 3: Cross multiply
   31,164x = 49,014 × 49,014
4. Step 4: Simplify right side
   31,164x = 2,402,372,196
5. Step 5: Solve for x
   x = 2,402,372,196/31,164
6. Step 6: Final answer
   x = 77,088.06