Finding the Third Proportional to 34,944 and 76,752

Step by Step Solution

1. Step 1: Write the proportion equation
   34,944 : 76,752 = 76,752 : x
2. Step 2: Convert to fraction form
   34,944/76,752 = 76,752/x
3. Step 3: Cross multiply
   34,944x = 76,752 × 76,752
4. Step 4: Simplify right side
   34,944x = 5,890,869,504
5. Step 5: Solve for x
   x = 5,890,869,504/34,944
6. Step 6: Final answer
   x = 168,580.29