Finding the Third Proportional to 19,584.50 and 29,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,584.50 : 29,863.50 = 29,863.50 : x
2. Step 2: Convert to fraction form
   19,584.50/29,863.50 = 29,863.50/x
3. Step 3: Cross multiply
   19,584.50x = 29,863.50 × 29,863.50
4. Step 4: Simplify right side
   19,584.50x = 891,828,632.25
5. Step 5: Solve for x
   x = 891,828,632.25/19,584.50
6. Step 6: Final answer
   x = 45,537.47