Finding the Third Proportional to 38,752 and 82,116

Step by Step Solution

1. Step 1: Write the proportion equation
   38,752 : 82,116 = 82,116 : x
2. Step 2: Convert to fraction form
   38,752/82,116 = 82,116/x
3. Step 3: Cross multiply
   38,752x = 82,116 × 82,116
4. Step 4: Simplify right side
   38,752x = 6,743,037,456
5. Step 5: Solve for x
   x = 6,743,037,456/38,752
6. Step 6: Final answer
   x = 174,004.89