Finding the Third Proportional to 23,870 and 37,086

Step by Step Solution

1. Step 1: Write the proportion equation
   23,870 : 37,086 = 37,086 : x
2. Step 2: Convert to fraction form
   23,870/37,086 = 37,086/x
3. Step 3: Cross multiply
   23,870x = 37,086 × 37,086
4. Step 4: Simplify right side
   23,870x = 1,375,371,396
5. Step 5: Solve for x
   x = 1,375,371,396/23,870
6. Step 6: Final answer
   x = 57,619.25