Finding the Third Proportional to 6,109.75 and 9,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.75 : 9,164.50 = 9,164.50 : x
2. Step 2: Convert to fraction form
   6,109.75/9,164.50 = 9,164.50/x
3. Step 3: Cross multiply
   6,109.75x = 9,164.50 × 9,164.50
4. Step 4: Simplify right side
   6,109.75x = 83,988,060.25
5. Step 5: Solve for x
   x = 83,988,060.25/6,109.75
6. Step 6: Final answer
   x = 13,746.56