Finding the Third Proportional to 10,092 and 20,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 20,596.50 = 20,596.50 : x
2. Step 2: Convert to fraction form
   10,092/20,596.50 = 20,596.50/x
3. Step 3: Cross multiply
   10,092x = 20,596.50 × 20,596.50
4. Step 4: Simplify right side
   10,092x = 424,215,812.25
5. Step 5: Solve for x
   x = 424,215,812.25/10,092
6. Step 6: Final answer
   x = 42,034.86