Finding the Third Proportional to 6,507 and 12,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507 : 12,109.50 = 12,109.50 : x
2. Step 2: Convert to fraction form
   6,507/12,109.50 = 12,109.50/x
3. Step 3: Cross multiply
   6,507x = 12,109.50 × 12,109.50
4. Step 4: Simplify right side
   6,507x = 146,639,990.25
5. Step 5: Solve for x
   x = 146,639,990.25/6,507
6. Step 6: Final answer
   x = 22,535.73