Finding the Third Proportional to 32,515 and 47,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,515 : 47,533.50 = 47,533.50 : x
2. Step 2: Convert to fraction form
   32,515/47,533.50 = 47,533.50/x
3. Step 3: Cross multiply
   32,515x = 47,533.50 × 47,533.50
4. Step 4: Simplify right side
   32,515x = 2,259,433,622.25
5. Step 5: Solve for x
   x = 2,259,433,622.25/32,515
6. Step 6: Final answer
   x = 69,488.96