Finding the Third Proportional to 23,680 and 31,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 31,591.50 = 31,591.50 : x
2. Step 2: Convert to fraction form
   23,680/31,591.50 = 31,591.50/x
3. Step 3: Cross multiply
   23,680x = 31,591.50 × 31,591.50
4. Step 4: Simplify right side
   23,680x = 998,022,872.25
5. Step 5: Solve for x
   x = 998,022,872.25/23,680
6. Step 6: Final answer
   x = 42,146.24