Finding the Third Proportional to 10,074.38 and 15,278.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.38 : 15,278.63 = 15,278.63 : x
2. Step 2: Convert to fraction form
   10,074.38/15,278.63 = 15,278.63/x
3. Step 3: Cross multiply
   10,074.38x = 15,278.63 × 15,278.63
4. Step 4: Simplify right side
   10,074.38x = 233,436,381.89
5. Step 5: Solve for x
   x = 233,436,381.89/10,074.38
6. Step 6: Final answer
   x = 23,171.30