Finding the Third Proportional to 20,192.63 and 31,442.06

Step by Step Solution

1. Step 1: Write the proportion equation
   20,192.63 : 31,442.06 = 31,442.06 : x
2. Step 2: Convert to fraction form
   20,192.63/31,442.06 = 31,442.06/x
3. Step 3: Cross multiply
   20,192.63x = 31,442.06 × 31,442.06
4. Step 4: Simplify right side
   20,192.63x = 988,603,294.25
5. Step 5: Solve for x
   x = 988,603,294.25/20,192.63
6. Step 6: Final answer
   x = 48,958.63