Finding the Third Proportional to 7,509 and 12,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,509 : 12,094.50 = 12,094.50 : x
2. Step 2: Convert to fraction form
   7,509/12,094.50 = 12,094.50/x
3. Step 3: Cross multiply
   7,509x = 12,094.50 × 12,094.50
4. Step 4: Simplify right side
   7,509x = 146,276,930.25
5. Step 5: Solve for x
   x = 146,276,930.25/7,509
6. Step 6: Final answer
   x = 19,480.21