Finding the Third Proportional to 7,536 and 12,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,536 : 12,073.50 = 12,073.50 : x
2. Step 2: Convert to fraction form
   7,536/12,073.50 = 12,073.50/x
3. Step 3: Cross multiply
   7,536x = 12,073.50 × 12,073.50
4. Step 4: Simplify right side
   7,536x = 145,769,402.25
5. Step 5: Solve for x
   x = 145,769,402.25/7,536
6. Step 6: Final answer
   x = 19,343.07