Finding the Third Proportional to 5,869.50 and 10,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,869.50 : 10,915.50 = 10,915.50 : x
2. Step 2: Convert to fraction form
   5,869.50/10,915.50 = 10,915.50/x
3. Step 3: Cross multiply
   5,869.50x = 10,915.50 × 10,915.50
4. Step 4: Simplify right side
   5,869.50x = 119,148,140.25
5. Step 5: Solve for x
   x = 119,148,140.25/5,869.50
6. Step 6: Final answer
   x = 20,299.54