Finding the Third Proportional to 10,137.23 and 21,593.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137.23 : 21,593.25 = 21,593.25 : x
2. Step 2: Convert to fraction form
   10,137.23/21,593.25 = 21,593.25/x
3. Step 3: Cross multiply
   10,137.23x = 21,593.25 × 21,593.25
4. Step 4: Simplify right side
   10,137.23x = 466,268,445.56
5. Step 5: Solve for x
   x = 466,268,445.56/10,137.23
6. Step 6: Final answer
   x = 45,995.63