Finding the Third Proportional to 10,429.50 and 13,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.50 : 13,537.50 = 13,537.50 : x
2. Step 2: Convert to fraction form
   10,429.50/13,537.50 = 13,537.50/x
3. Step 3: Cross multiply
   10,429.50x = 13,537.50 × 13,537.50
4. Step 4: Simplify right side
   10,429.50x = 183,263,906.25
5. Step 5: Solve for x
   x = 183,263,906.25/10,429.50
6. Step 6: Final answer
   x = 17,571.69