Finding the Third Proportional to 9,381 and 12,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,381 : 12,847.50 = 12,847.50 : x
2. Step 2: Convert to fraction form
   9,381/12,847.50 = 12,847.50/x
3. Step 3: Cross multiply
   9,381x = 12,847.50 × 12,847.50
4. Step 4: Simplify right side
   9,381x = 165,058,256.25
5. Step 5: Solve for x
   x = 165,058,256.25/9,381
6. Step 6: Final answer
   x = 17,594.95