Finding the Third Proportional to 9,538.50 and 14,835

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.50 : 14,835 = 14,835 : x
2. Step 2: Convert to fraction form
   9,538.50/14,835 = 14,835/x
3. Step 3: Cross multiply
   9,538.50x = 14,835 × 14,835
4. Step 4: Simplify right side
   9,538.50x = 220,077,225
5. Step 5: Solve for x
   x = 220,077,225/9,538.50
6. Step 6: Final answer
   x = 23,072.52