Finding the Third Proportional to 30,946 and 45,123

Step by Step Solution

1. Step 1: Write the proportion equation
   30,946 : 45,123 = 45,123 : x
2. Step 2: Convert to fraction form
   30,946/45,123 = 45,123/x
3. Step 3: Cross multiply
   30,946x = 45,123 × 45,123
4. Step 4: Simplify right side
   30,946x = 2,036,085,129
5. Step 5: Solve for x
   x = 2,036,085,129/30,946
6. Step 6: Final answer
   x = 65,794.78