Finding the Third Proportional to 6,473.25 and 9,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,473.25 : 9,706.50 = 9,706.50 : x
2. Step 2: Convert to fraction form
   6,473.25/9,706.50 = 9,706.50/x
3. Step 3: Cross multiply
   6,473.25x = 9,706.50 × 9,706.50
4. Step 4: Simplify right side
   6,473.25x = 94,216,142.25
5. Step 5: Solve for x
   x = 94,216,142.25/6,473.25
6. Step 6: Final answer
   x = 14,554.69