Finding the Third Proportional to 9,598.50 and 19,675.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,598.50 : 19,675.41 = 19,675.41 : x
2. Step 2: Convert to fraction form
   9,598.50/19,675.41 = 19,675.41/x
3. Step 3: Cross multiply
   9,598.50x = 19,675.41 × 19,675.41
4. Step 4: Simplify right side
   9,598.50x = 387,121,611.10
5. Step 5: Solve for x
   x = 387,121,611.10/9,598.50
6. Step 6: Final answer
   x = 40,331.47