Finding the Third Proportional to 23,580 and 34,101

Step by Step Solution

1. Step 1: Write the proportion equation
   23,580 : 34,101 = 34,101 : x
2. Step 2: Convert to fraction form
   23,580/34,101 = 34,101/x
3. Step 3: Cross multiply
   23,580x = 34,101 × 34,101
4. Step 4: Simplify right side
   23,580x = 1,162,878,201
5. Step 5: Solve for x
   x = 1,162,878,201/23,580
6. Step 6: Final answer
   x = 49,316.29