Finding the Third Proportional to 23,580 and 49,888

Step by Step Solution

1. Step 1: Write the proportion equation
   23,580 : 49,888 = 49,888 : x
2. Step 2: Convert to fraction form
   23,580/49,888 = 49,888/x
3. Step 3: Cross multiply
   23,580x = 49,888 × 49,888
4. Step 4: Simplify right side
   23,580x = 2,488,812,544
5. Step 5: Solve for x
   x = 2,488,812,544/23,580
6. Step 6: Final answer
   x = 105,547.61