Finding the Third Proportional to 7,093 and 10,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,093 : 10,199.50 = 10,199.50 : x
2. Step 2: Convert to fraction form
   7,093/10,199.50 = 10,199.50/x
3. Step 3: Cross multiply
   7,093x = 10,199.50 × 10,199.50
4. Step 4: Simplify right side
   7,093x = 104,029,800.25
5. Step 5: Solve for x
   x = 104,029,800.25/7,093
6. Step 6: Final answer
   x = 14,666.54