Finding the Third Proportional to 36,096 and 78,510

Step by Step Solution

1. Step 1: Write the proportion equation
   36,096 : 78,510 = 78,510 : x
2. Step 2: Convert to fraction form
   36,096/78,510 = 78,510/x
3. Step 3: Cross multiply
   36,096x = 78,510 × 78,510
4. Step 4: Simplify right side
   36,096x = 6,163,820,100
5. Step 5: Solve for x
   x = 6,163,820,100/36,096
6. Step 6: Final answer
   x = 170,761.86