Finding the Third Proportional to 10,746 and 11,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 11,758.50 = 11,758.50 : x
2. Step 2: Convert to fraction form
   10,746/11,758.50 = 11,758.50/x
3. Step 3: Cross multiply
   10,746x = 11,758.50 × 11,758.50
4. Step 4: Simplify right side
   10,746x = 138,262,322.25
5. Step 5: Solve for x
   x = 138,262,322.25/10,746
6. Step 6: Final answer
   x = 12,866.40