Finding the Third Proportional to 32,269 and 69,483

Step by Step Solution

1. Step 1: Write the proportion equation
   32,269 : 69,483 = 69,483 : x
2. Step 2: Convert to fraction form
   32,269/69,483 = 69,483/x
3. Step 3: Cross multiply
   32,269x = 69,483 × 69,483
4. Step 4: Simplify right side
   32,269x = 4,827,887,289
5. Step 5: Solve for x
   x = 4,827,887,289/32,269
6. Step 6: Final answer
   x = 149,613.79