Finding the Third Proportional to 9,742.50 and 21,042.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.50 : 21,042.56 = 21,042.56 : x
2. Step 2: Convert to fraction form
   9,742.50/21,042.56 = 21,042.56/x
3. Step 3: Cross multiply
   9,742.50x = 21,042.56 × 21,042.56
4. Step 4: Simplify right side
   9,742.50x = 442,789,436.57
5. Step 5: Solve for x
   x = 442,789,436.57/9,742.50
6. Step 6: Final answer
   x = 45,449.26