Finding the Third Proportional to 11,758.50 and 13,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758.50 : 13,846.50 = 13,846.50 : x
2. Step 2: Convert to fraction form
   11,758.50/13,846.50 = 13,846.50/x
3. Step 3: Cross multiply
   11,758.50x = 13,846.50 × 13,846.50
4. Step 4: Simplify right side
   11,758.50x = 191,725,562.25
5. Step 5: Solve for x
   x = 191,725,562.25/11,758.50
6. Step 6: Final answer
   x = 16,305.27