Finding the Third Proportional to 10,126.50 and 21,353.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,126.50 : 21,353.25 = 21,353.25 : x
2. Step 2: Convert to fraction form
   10,126.50/21,353.25 = 21,353.25/x
3. Step 3: Cross multiply
   10,126.50x = 21,353.25 × 21,353.25
4. Step 4: Simplify right side
   10,126.50x = 455,961,285.56
5. Step 5: Solve for x
   x = 455,961,285.56/10,126.50
6. Step 6: Final answer
   x = 45,026.54