Finding the Third Proportional to 37,622 and 81,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,622 : 81,723.50 = 81,723.50 : x
2. Step 2: Convert to fraction form
   37,622/81,723.50 = 81,723.50/x
3. Step 3: Cross multiply
   37,622x = 81,723.50 × 81,723.50
4. Step 4: Simplify right side
   37,622x = 6,678,730,452.25
5. Step 5: Solve for x
   x = 6,678,730,452.25/37,622
6. Step 6: Final answer
   x = 177,521.94