Finding the Third Proportional to 37,251 and 83,610

Step by Step Solution

1. Step 1: Write the proportion equation
   37,251 : 83,610 = 83,610 : x
2. Step 2: Convert to fraction form
   37,251/83,610 = 83,610/x
3. Step 3: Cross multiply
   37,251x = 83,610 × 83,610
4. Step 4: Simplify right side
   37,251x = 6,990,632,100
5. Step 5: Solve for x
   x = 6,990,632,100/37,251
6. Step 6: Final answer
   x = 187,662.94