Finding the Third Proportional to 34,340 and 49,014

Step by Step Solution

1. Step 1: Write the proportion equation
   34,340 : 49,014 = 49,014 : x
2. Step 2: Convert to fraction form
   34,340/49,014 = 49,014/x
3. Step 3: Cross multiply
   34,340x = 49,014 × 49,014
4. Step 4: Simplify right side
   34,340x = 2,402,372,196
5. Step 5: Solve for x
   x = 2,402,372,196/34,340
6. Step 6: Final answer
   x = 69,958.42