Finding the Third Proportional to 32,320 and 69,248

Step by Step Solution

1. Step 1: Write the proportion equation
   32,320 : 69,248 = 69,248 : x
2. Step 2: Convert to fraction form
   32,320/69,248 = 69,248/x
3. Step 3: Cross multiply
   32,320x = 69,248 × 69,248
4. Step 4: Simplify right side
   32,320x = 4,795,285,504
5. Step 5: Solve for x
   x = 4,795,285,504/32,320
6. Step 6: Final answer
   x = 148,368.98