Finding the Third Proportional to 21,549 and 46,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,549 : 46,378.50 = 46,378.50 : x
2. Step 2: Convert to fraction form
   21,549/46,378.50 = 46,378.50/x
3. Step 3: Cross multiply
   21,549x = 46,378.50 × 46,378.50
4. Step 4: Simplify right side
   21,549x = 2,150,965,262.25
5. Step 5: Solve for x
   x = 2,150,965,262.25/21,549
6. Step 6: Final answer
   x = 99,817.41