Finding the Third Proportional to 21,536 and 45,024

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 45,024 = 45,024 : x
2. Step 2: Convert to fraction form
   21,536/45,024 = 45,024/x
3. Step 3: Cross multiply
   21,536x = 45,024 × 45,024
4. Step 4: Simplify right side
   21,536x = 2,027,160,576
5. Step 5: Solve for x
   x = 2,027,160,576/21,536
6. Step 6: Final answer
   x = 94,128.93