Finding the Third Proportional to 7,390 and 10,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,390 : 10,809.50 = 10,809.50 : x
2. Step 2: Convert to fraction form
   7,390/10,809.50 = 10,809.50/x
3. Step 3: Cross multiply
   7,390x = 10,809.50 × 10,809.50
4. Step 4: Simplify right side
   7,390x = 116,845,290.25
5. Step 5: Solve for x
   x = 116,845,290.25/7,390
6. Step 6: Final answer
   x = 15,811.27