Finding the Third Proportional to 10,090.50 and 20,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,090.50 : 20,591.25 = 20,591.25 : x
2. Step 2: Convert to fraction form
   10,090.50/20,591.25 = 20,591.25/x
3. Step 3: Cross multiply
   10,090.50x = 20,591.25 × 20,591.25
4. Step 4: Simplify right side
   10,090.50x = 423,999,576.56
5. Step 5: Solve for x
   x = 423,999,576.56/10,090.50
6. Step 6: Final answer
   x = 42,019.68