Finding the Third Proportional to 10,498.50 and 11,349

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.50 : 11,349 = 11,349 : x
2. Step 2: Convert to fraction form
   10,498.50/11,349 = 11,349/x
3. Step 3: Cross multiply
   10,498.50x = 11,349 × 11,349
4. Step 4: Simplify right side
   10,498.50x = 128,799,801
5. Step 5: Solve for x
   x = 128,799,801/10,498.50
6. Step 6: Final answer
   x = 12,268.40