Finding the Third Proportional to 25,010 and 59,036

Step by Step Solution

1. Step 1: Write the proportion equation
   25,010 : 59,036 = 59,036 : x
2. Step 2: Convert to fraction form
   25,010/59,036 = 59,036/x
3. Step 3: Cross multiply
   25,010x = 59,036 × 59,036
4. Step 4: Simplify right side
   25,010x = 3,485,249,296
5. Step 5: Solve for x
   x = 3,485,249,296/25,010
6. Step 6: Final answer
   x = 139,354.23