Finding the Third Proportional to 13,026 and 26,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,026 : 26,974.50 = 26,974.50 : x
2. Step 2: Convert to fraction form
   13,026/26,974.50 = 26,974.50/x
3. Step 3: Cross multiply
   13,026x = 26,974.50 × 26,974.50
4. Step 4: Simplify right side
   13,026x = 727,623,650.25
5. Step 5: Solve for x
   x = 727,623,650.25/13,026
6. Step 6: Final answer
   x = 55,859.33