Finding the Third Proportional to 32,272 and 69,152

Step by Step Solution

1. Step 1: Write the proportion equation
   32,272 : 69,152 = 69,152 : x
2. Step 2: Convert to fraction form
   32,272/69,152 = 69,152/x
3. Step 3: Cross multiply
   32,272x = 69,152 × 69,152
4. Step 4: Simplify right side
   32,272x = 4,781,999,104
5. Step 5: Solve for x
   x = 4,781,999,104/32,272
6. Step 6: Final answer
   x = 148,177.96