Finding the Third Proportional to 9,598.50 and 14,807.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,598.50 : 14,807.63 = 14,807.63 : x
2. Step 2: Convert to fraction form
   9,598.50/14,807.63 = 14,807.63/x
3. Step 3: Cross multiply
   9,598.50x = 14,807.63 × 14,807.63
4. Step 4: Simplify right side
   9,598.50x = 219,265,758.14
5. Step 5: Solve for x
   x = 219,265,758.14/9,598.50
6. Step 6: Final answer
   x = 22,843.75