Finding the Third Proportional to 10,292.50 and 20,948.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,292.50 : 20,948.75 = 20,948.75 : x
2. Step 2: Convert to fraction form
   10,292.50/20,948.75 = 20,948.75/x
3. Step 3: Cross multiply
   10,292.50x = 20,948.75 × 20,948.75
4. Step 4: Simplify right side
   10,292.50x = 438,850,126.56
5. Step 5: Solve for x
   x = 438,850,126.56/10,292.50
6. Step 6: Final answer
   x = 42,637.86