Finding the Third Proportional to 30,564 and 46,434

Step by Step Solution

1. Step 1: Write the proportion equation
   30,564 : 46,434 = 46,434 : x
2. Step 2: Convert to fraction form
   30,564/46,434 = 46,434/x
3. Step 3: Cross multiply
   30,564x = 46,434 × 46,434
4. Step 4: Simplify right side
   30,564x = 2,156,116,356
5. Step 5: Solve for x
   x = 2,156,116,356/30,564
6. Step 6: Final answer
   x = 70,544.31