Finding the Third Proportional to 54,658 and 74,174

Step by Step Solution

1. Step 1: Write the proportion equation
   54,658 : 74,174 = 74,174 : x
2. Step 2: Convert to fraction form
   54,658/74,174 = 74,174/x
3. Step 3: Cross multiply
   54,658x = 74,174 × 74,174
4. Step 4: Simplify right side
   54,658x = 5,501,782,276
5. Step 5: Solve for x
   x = 5,501,782,276/54,658
6. Step 6: Final answer
   x = 100,658.32