Finding the Third Proportional to 6,846 and 14,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 14,758.50 = 14,758.50 : x
2. Step 2: Convert to fraction form
   6,846/14,758.50 = 14,758.50/x
3. Step 3: Cross multiply
   6,846x = 14,758.50 × 14,758.50
4. Step 4: Simplify right side
   6,846x = 217,813,322.25
5. Step 5: Solve for x
   x = 217,813,322.25/6,846
6. Step 6: Final answer
   x = 31,816.14