Finding the Third Proportional to 5,943 and 8,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,943 : 8,047.50 = 8,047.50 : x
2. Step 2: Convert to fraction form
   5,943/8,047.50 = 8,047.50/x
3. Step 3: Cross multiply
   5,943x = 8,047.50 × 8,047.50
4. Step 4: Simplify right side
   5,943x = 64,762,256.25
5. Step 5: Solve for x
   x = 64,762,256.25/5,943
6. Step 6: Final answer
   x = 10,897.23