Finding the Third Proportional to 15,584.25 and 34,089.75

Step by Step Solution

1. Step 1: Write the proportion equation
   15,584.25 : 34,089.75 = 34,089.75 : x
2. Step 2: Convert to fraction form
   15,584.25/34,089.75 = 34,089.75/x
3. Step 3: Cross multiply
   15,584.25x = 34,089.75 × 34,089.75
4. Step 4: Simplify right side
   15,584.25x = 1,162,111,055.06
5. Step 5: Solve for x
   x = 1,162,111,055.06/15,584.25
6. Step 6: Final answer
   x = 74,569.59