Finding the Third Proportional to 32,509 and 50,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,509 : 50,113.50 = 50,113.50 : x
2. Step 2: Convert to fraction form
   32,509/50,113.50 = 50,113.50/x
3. Step 3: Cross multiply
   32,509x = 50,113.50 × 50,113.50
4. Step 4: Simplify right side
   32,509x = 2,511,362,882.25
5. Step 5: Solve for x
   x = 2,511,362,882.25/32,509
6. Step 6: Final answer
   x = 77,251.31