Finding the Third Proportional to 9,886.50 and 21,597

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.50 : 21,597 = 21,597 : x
2. Step 2: Convert to fraction form
   9,886.50/21,597 = 21,597/x
3. Step 3: Cross multiply
   9,886.50x = 21,597 × 21,597
4. Step 4: Simplify right side
   9,886.50x = 466,430,409
5. Step 5: Solve for x
   x = 466,430,409/9,886.50
6. Step 6: Final answer
   x = 47,178.52