Finding the Third Proportional to 30,564 and 46,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,564 : 46,754.50 = 46,754.50 : x
2. Step 2: Convert to fraction form
   30,564/46,754.50 = 46,754.50/x
3. Step 3: Cross multiply
   30,564x = 46,754.50 × 46,754.50
4. Step 4: Simplify right side
   30,564x = 2,185,983,270.25
5. Step 5: Solve for x
   x = 2,185,983,270.25/30,564
6. Step 6: Final answer
   x = 71,521.50