Finding the Third Proportional to 21,663 and 47,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,663 : 47,461.50 = 47,461.50 : x
2. Step 2: Convert to fraction form
   21,663/47,461.50 = 47,461.50/x
3. Step 3: Cross multiply
   21,663x = 47,461.50 × 47,461.50
4. Step 4: Simplify right side
   21,663x = 2,252,593,982.25
5. Step 5: Solve for x
   x = 2,252,593,982.25/21,663
6. Step 6: Final answer
   x = 103,983.47