Finding the Third Proportional to 37,096 and 81,300

Step by Step Solution

1. Step 1: Write the proportion equation
   37,096 : 81,300 = 81,300 : x
2. Step 2: Convert to fraction form
   37,096/81,300 = 81,300/x
3. Step 3: Cross multiply
   37,096x = 81,300 × 81,300
4. Step 4: Simplify right side
   37,096x = 6,609,690,000
5. Step 5: Solve for x
   x = 6,609,690,000/37,096
6. Step 6: Final answer
   x = 178,177.97