Finding the Third Proportional to 21,588 and 48,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,588 : 48,196.50 = 48,196.50 : x
2. Step 2: Convert to fraction form
   21,588/48,196.50 = 48,196.50/x
3. Step 3: Cross multiply
   21,588x = 48,196.50 × 48,196.50
4. Step 4: Simplify right side
   21,588x = 2,322,902,612.25
5. Step 5: Solve for x
   x = 2,322,902,612.25/21,588
6. Step 6: Final answer
   x = 107,601.57