Finding the Third Proportional to 7,389.50 and 10,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,389.50 : 10,798.50 = 10,798.50 : x
2. Step 2: Convert to fraction form
   7,389.50/10,798.50 = 10,798.50/x
3. Step 3: Cross multiply
   7,389.50x = 10,798.50 × 10,798.50
4. Step 4: Simplify right side
   7,389.50x = 116,607,602.25
5. Step 5: Solve for x
   x = 116,607,602.25/7,389.50
6. Step 6: Final answer
   x = 15,780.17