Finding the Third Proportional to 32,296 and 72,152

Step by Step Solution

1. Step 1: Write the proportion equation
   32,296 : 72,152 = 72,152 : x
2. Step 2: Convert to fraction form
   32,296/72,152 = 72,152/x
3. Step 3: Cross multiply
   32,296x = 72,152 × 72,152
4. Step 4: Simplify right side
   32,296x = 5,205,911,104
5. Step 5: Solve for x
   x = 5,205,911,104/32,296
6. Step 6: Final answer
   x = 161,193.68