Finding the Third Proportional to 12,121 and 17,783

Step by Step Solution

1. Step 1: Write the proportion equation
   12,121 : 17,783 = 17,783 : x
2. Step 2: Convert to fraction form
   12,121/17,783 = 17,783/x
3. Step 3: Cross multiply
   12,121x = 17,783 × 17,783
4. Step 4: Simplify right side
   12,121x = 316,235,089
5. Step 5: Solve for x
   x = 316,235,089/12,121
6. Step 6: Final answer
   x = 26,089.85