Finding the Third Proportional to 12,584 and 30,272

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 30,272 = 30,272 : x
2. Step 2: Convert to fraction form
   12,584/30,272 = 30,272/x
3. Step 3: Cross multiply
   12,584x = 30,272 × 30,272
4. Step 4: Simplify right side
   12,584x = 916,393,984
5. Step 5: Solve for x
   x = 916,393,984/12,584
6. Step 6: Final answer
   x = 72,822.15