Finding the Third Proportional to 10,380.38 and 15,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.38 : 15,583.50 = 15,583.50 : x
2. Step 2: Convert to fraction form
   10,380.38/15,583.50 = 15,583.50/x
3. Step 3: Cross multiply
   10,380.38x = 15,583.50 × 15,583.50
4. Step 4: Simplify right side
   10,380.38x = 242,845,472.25
5. Step 5: Solve for x
   x = 242,845,472.25/10,380.38
6. Step 6: Final answer
   x = 23,394.67