Finding the Third Proportional to 25,533 and 58,601

Step by Step Solution

1. Step 1: Write the proportion equation
   25,533 : 58,601 = 58,601 : x
2. Step 2: Convert to fraction form
   25,533/58,601 = 58,601/x
3. Step 3: Cross multiply
   25,533x = 58,601 × 58,601
4. Step 4: Simplify right side
   25,533x = 3,434,077,201
5. Step 5: Solve for x
   x = 3,434,077,201/25,533
6. Step 6: Final answer
   x = 134,495.64