Finding the Third Proportional to 9,844.50 and 20,175

Step by Step Solution

1. Step 1: Write the proportion equation
   9,844.50 : 20,175 = 20,175 : x
2. Step 2: Convert to fraction form
   9,844.50/20,175 = 20,175/x
3. Step 3: Cross multiply
   9,844.50x = 20,175 × 20,175
4. Step 4: Simplify right side
   9,844.50x = 407,030,625
5. Step 5: Solve for x
   x = 407,030,625/9,844.50
6. Step 6: Final answer
   x = 41,345.99