Finding the Third Proportional to 31,142 and 48,945

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142 : 48,945 = 48,945 : x
2. Step 2: Convert to fraction form
   31,142/48,945 = 48,945/x
3. Step 3: Cross multiply
   31,142x = 48,945 × 48,945
4. Step 4: Simplify right side
   31,142x = 2,395,613,025
5. Step 5: Solve for x
   x = 2,395,613,025/31,142
6. Step 6: Final answer
   x = 76,925.47