Finding the Third Proportional to 32,898 and 72,197.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,898 : 72,197.25 = 72,197.25 : x
2. Step 2: Convert to fraction form
   32,898/72,197.25 = 72,197.25/x
3. Step 3: Cross multiply
   32,898x = 72,197.25 × 72,197.25
4. Step 4: Simplify right side
   32,898x = 5,212,442,907.56
5. Step 5: Solve for x
   x = 5,212,442,907.56/32,898
6. Step 6: Final answer
   x = 158,442.55