Finding the Third Proportional to 6,052.50 and 9,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,052.50 : 9,085.25 = 9,085.25 : x
2. Step 2: Convert to fraction form
   6,052.50/9,085.25 = 9,085.25/x
3. Step 3: Cross multiply
   6,052.50x = 9,085.25 × 9,085.25
4. Step 4: Simplify right side
   6,052.50x = 82,541,767.56
5. Step 5: Solve for x
   x = 82,541,767.56/6,052.50
6. Step 6: Final answer
   x = 13,637.63