Finding the Third Proportional to 15,901 and 34,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,901 : 34,535.50 = 34,535.50 : x
2. Step 2: Convert to fraction form
   15,901/34,535.50 = 34,535.50/x
3. Step 3: Cross multiply
   15,901x = 34,535.50 × 34,535.50
4. Step 4: Simplify right side
   15,901x = 1,192,700,760.25
5. Step 5: Solve for x
   x = 1,192,700,760.25/15,901
6. Step 6: Final answer
   x = 75,007.91