Finding the Third Proportional to 9,436.50 and 13,542.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,436.50 : 13,542.75 = 13,542.75 : x
2. Step 2: Convert to fraction form
   9,436.50/13,542.75 = 13,542.75/x
3. Step 3: Cross multiply
   9,436.50x = 13,542.75 × 13,542.75
4. Step 4: Simplify right side
   9,436.50x = 183,406,077.56
5. Step 5: Solve for x
   x = 183,406,077.56/9,436.50
6. Step 6: Final answer
   x = 19,435.82