Finding the Third Proportional to 23,582 and 49,783

Step by Step Solution

1. Step 1: Write the proportion equation
   23,582 : 49,783 = 49,783 : x
2. Step 2: Convert to fraction form
   23,582/49,783 = 49,783/x
3. Step 3: Cross multiply
   23,582x = 49,783 × 49,783
4. Step 4: Simplify right side
   23,582x = 2,478,347,089
5. Step 5: Solve for x
   x = 2,478,347,089/23,582
6. Step 6: Final answer
   x = 105,094.86