Finding the Third Proportional to 9,978 and 21,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978 : 21,766.50 = 21,766.50 : x
2. Step 2: Convert to fraction form
   9,978/21,766.50 = 21,766.50/x
3. Step 3: Cross multiply
   9,978x = 21,766.50 × 21,766.50
4. Step 4: Simplify right side
   9,978x = 473,780,522.25
5. Step 5: Solve for x
   x = 473,780,522.25/9,978
6. Step 6: Final answer
   x = 47,482.51