Finding the Third Proportional to 10,100.50 and 13,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.50 : 13,494.50 = 13,494.50 : x
2. Step 2: Convert to fraction form
   10,100.50/13,494.50 = 13,494.50/x
3. Step 3: Cross multiply
   10,100.50x = 13,494.50 × 13,494.50
4. Step 4: Simplify right side
   10,100.50x = 182,101,530.25
5. Step 5: Solve for x
   x = 182,101,530.25/10,100.50
6. Step 6: Final answer
   x = 18,028.96