Finding the Third Proportional to 25,036 and 58,214

Step by Step Solution

1. Step 1: Write the proportion equation
   25,036 : 58,214 = 58,214 : x
2. Step 2: Convert to fraction form
   25,036/58,214 = 58,214/x
3. Step 3: Cross multiply
   25,036x = 58,214 × 58,214
4. Step 4: Simplify right side
   25,036x = 3,388,869,796
5. Step 5: Solve for x
   x = 3,388,869,796/25,036
6. Step 6: Final answer
   x = 135,359.87