Finding the Third Proportional to 9,830.50 and 21,388.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.50 : 21,388.75 = 21,388.75 : x
2. Step 2: Convert to fraction form
   9,830.50/21,388.75 = 21,388.75/x
3. Step 3: Cross multiply
   9,830.50x = 21,388.75 × 21,388.75
4. Step 4: Simplify right side
   9,830.50x = 457,478,626.56
5. Step 5: Solve for x
   x = 457,478,626.56/9,830.50
6. Step 6: Final answer
   x = 46,536.66