Finding the Third Proportional to 54,814 and 74,274

Step by Step Solution

1. Step 1: Write the proportion equation
   54,814 : 74,274 = 74,274 : x
2. Step 2: Convert to fraction form
   54,814/74,274 = 74,274/x
3. Step 3: Cross multiply
   54,814x = 74,274 × 74,274
4. Step 4: Simplify right side
   54,814x = 5,516,627,076
5. Step 5: Solve for x
   x = 5,516,627,076/54,814
6. Step 6: Final answer
   x = 100,642.67