Finding the Third Proportional to 15,591 and 34,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,591 : 34,099.50 = 34,099.50 : x
2. Step 2: Convert to fraction form
   15,591/34,099.50 = 34,099.50/x
3. Step 3: Cross multiply
   15,591x = 34,099.50 × 34,099.50
4. Step 4: Simplify right side
   15,591x = 1,162,775,900.25
5. Step 5: Solve for x
   x = 1,162,775,900.25/15,591
6. Step 6: Final answer
   x = 74,579.94