Finding the Third Proportional to 21,906.50 and 47,503.63

Step by Step Solution

1. Step 1: Write the proportion equation
   21,906.50 : 47,503.63 = 47,503.63 : x
2. Step 2: Convert to fraction form
   21,906.50/47,503.63 = 47,503.63/x
3. Step 3: Cross multiply
   21,906.50x = 47,503.63 × 47,503.63
4. Step 4: Simplify right side
   21,906.50x = 2,256,594,388.14
5. Step 5: Solve for x
   x = 2,256,594,388.14/21,906.50
6. Step 6: Final answer
   x = 103,010.27