Finding the Third Proportional to 5,947 and 10,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,947 : 10,587.50 = 10,587.50 : x
2. Step 2: Convert to fraction form
   5,947/10,587.50 = 10,587.50/x
3. Step 3: Cross multiply
   5,947x = 10,587.50 × 10,587.50
4. Step 4: Simplify right side
   5,947x = 112,095,156.25
5. Step 5: Solve for x
   x = 112,095,156.25/5,947
6. Step 6: Final answer
   x = 18,849.03