Finding the Third Proportional to 34,664 and 73,460

Step by Step Solution

1. Step 1: Write the proportion equation
   34,664 : 73,460 = 73,460 : x
2. Step 2: Convert to fraction form
   34,664/73,460 = 73,460/x
3. Step 3: Cross multiply
   34,664x = 73,460 × 73,460
4. Step 4: Simplify right side
   34,664x = 5,396,371,600
5. Step 5: Solve for x
   x = 5,396,371,600/34,664
6. Step 6: Final answer
   x = 155,676.54