Finding the Third Proportional to 23,049 and 34,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,049 : 34,591.50 = 34,591.50 : x
2. Step 2: Convert to fraction form
   23,049/34,591.50 = 34,591.50/x
3. Step 3: Cross multiply
   23,049x = 34,591.50 × 34,591.50
4. Step 4: Simplify right side
   23,049x = 1,196,571,872.25
5. Step 5: Solve for x
   x = 1,196,571,872.25/23,049
6. Step 6: Final answer
   x = 51,914.26