Finding the Third Proportional to 15,645 and 32,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,645 : 32,584.50 = 32,584.50 : x
2. Step 2: Convert to fraction form
   15,645/32,584.50 = 32,584.50/x
3. Step 3: Cross multiply
   15,645x = 32,584.50 × 32,584.50
4. Step 4: Simplify right side
   15,645x = 1,061,749,640.25
5. Step 5: Solve for x
   x = 1,061,749,640.25/15,645
6. Step 6: Final answer
   x = 67,865.11