Finding the Third Proportional to 49,464 and 76,706

Step by Step Solution

1. Step 1: Write the proportion equation
   49,464 : 76,706 = 76,706 : x
2. Step 2: Convert to fraction form
   49,464/76,706 = 76,706/x
3. Step 3: Cross multiply
   49,464x = 76,706 × 76,706
4. Step 4: Simplify right side
   49,464x = 5,883,810,436
5. Step 5: Solve for x
   x = 5,883,810,436/49,464
6. Step 6: Final answer
   x = 118,951.37