Finding the Third Proportional to 36,946 and 55,122

Step by Step Solution

1. Step 1: Write the proportion equation
   36,946 : 55,122 = 55,122 : x
2. Step 2: Convert to fraction form
   36,946/55,122 = 55,122/x
3. Step 3: Cross multiply
   36,946x = 55,122 × 55,122
4. Step 4: Simplify right side
   36,946x = 3,038,434,884
5. Step 5: Solve for x
   x = 3,038,434,884/36,946
6. Step 6: Final answer
   x = 82,239.89