Finding the Third Proportional to 15,538 and 34,584

Step by Step Solution

1. Step 1: Write the proportion equation
   15,538 : 34,584 = 34,584 : x
2. Step 2: Convert to fraction form
   15,538/34,584 = 34,584/x
3. Step 3: Cross multiply
   15,538x = 34,584 × 34,584
4. Step 4: Simplify right side
   15,538x = 1,196,053,056
5. Step 5: Solve for x
   x = 1,196,053,056/15,538
6. Step 6: Final answer
   x = 76,976.00