Finding the Third Proportional to 9,830.63 and 21,389.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.63 : 21,389.25 = 21,389.25 : x
2. Step 2: Convert to fraction form
   9,830.63/21,389.25 = 21,389.25/x
3. Step 3: Cross multiply
   9,830.63x = 21,389.25 × 21,389.25
4. Step 4: Simplify right side
   9,830.63x = 457,500,015.56
5. Step 5: Solve for x
   x = 457,500,015.56/9,830.63
6. Step 6: Final answer
   x = 46,538.24