Finding the Third Proportional to 6,084 and 9,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,084 : 9,112.50 = 9,112.50 : x
2. Step 2: Convert to fraction form
   6,084/9,112.50 = 9,112.50/x
3. Step 3: Cross multiply
   6,084x = 9,112.50 × 9,112.50
4. Step 4: Simplify right side
   6,084x = 83,037,656.25
5. Step 5: Solve for x
   x = 83,037,656.25/6,084
6. Step 6: Final answer
   x = 13,648.53