Finding the Third Proportional to 6,523.50 and 14,085.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,523.50 : 14,085.94 = 14,085.94 : x
2. Step 2: Convert to fraction form
   6,523.50/14,085.94 = 14,085.94/x
3. Step 3: Cross multiply
   6,523.50x = 14,085.94 × 14,085.94
4. Step 4: Simplify right side
   6,523.50x = 198,413,635.25
5. Step 5: Solve for x
   x = 198,413,635.25/6,523.50
6. Step 6: Final answer
   x = 30,415.21