Finding the Third Proportional to 9,463.50 and 13,840.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,463.50 : 13,840.88 = 13,840.88 : x
2. Step 2: Convert to fraction form
   9,463.50/13,840.88 = 13,840.88/x
3. Step 3: Cross multiply
   9,463.50x = 13,840.88 × 13,840.88
4. Step 4: Simplify right side
   9,463.50x = 191,569,820.77
5. Step 5: Solve for x
   x = 191,569,820.77/9,463.50
6. Step 6: Final answer
   x = 20,243.02