Finding the Third Proportional to 9,818 and 21,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,818 : 21,580.50 = 21,580.50 : x
2. Step 2: Convert to fraction form
   9,818/21,580.50 = 21,580.50/x
3. Step 3: Cross multiply
   9,818x = 21,580.50 × 21,580.50
4. Step 4: Simplify right side
   9,818x = 465,717,980.25
5. Step 5: Solve for x
   x = 465,717,980.25/9,818
6. Step 6: Final answer
   x = 47,435.12