Finding the Third Proportional to 33,946 and 51,484

Step by Step Solution

1. Step 1: Write the proportion equation
   33,946 : 51,484 = 51,484 : x
2. Step 2: Convert to fraction form
   33,946/51,484 = 51,484/x
3. Step 3: Cross multiply
   33,946x = 51,484 × 51,484
4. Step 4: Simplify right side
   33,946x = 2,650,602,256
5. Step 5: Solve for x
   x = 2,650,602,256/33,946
6. Step 6: Final answer
   x = 78,082.90