Finding the Third Proportional to 10,385.25 and 22,523.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.25 : 22,523.38 = 22,523.38 : x
2. Step 2: Convert to fraction form
   10,385.25/22,523.38 = 22,523.38/x
3. Step 3: Cross multiply
   10,385.25x = 22,523.38 × 22,523.38
4. Step 4: Simplify right side
   10,385.25x = 507,302,421.39
5. Step 5: Solve for x
   x = 507,302,421.39/10,385.25
6. Step 6: Final answer
   x = 48,848.36