Finding the Third Proportional to 7,837.50 and 12,140.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,837.50 : 12,140.63 = 12,140.63 : x
2. Step 2: Convert to fraction form
   7,837.50/12,140.63 = 12,140.63/x
3. Step 3: Cross multiply
   7,837.50x = 12,140.63 × 12,140.63
4. Step 4: Simplify right side
   7,837.50x = 147,394,775.39
5. Step 5: Solve for x
   x = 147,394,775.39/7,837.50
6. Step 6: Final answer
   x = 18,806.35