Finding the Third Proportional to 9,865 and 14,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,865 : 14,647.50 = 14,647.50 : x
2. Step 2: Convert to fraction form
   9,865/14,647.50 = 14,647.50/x
3. Step 3: Cross multiply
   9,865x = 14,647.50 × 14,647.50
4. Step 4: Simplify right side
   9,865x = 214,549,256.25
5. Step 5: Solve for x
   x = 214,549,256.25/9,865
6. Step 6: Final answer
   x = 21,748.53