Finding the Third Proportional to 9,814.50 and 21,340.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 21,340.13 = 21,340.13 : x
2. Step 2: Convert to fraction form
   9,814.50/21,340.13 = 21,340.13/x
3. Step 3: Cross multiply
   9,814.50x = 21,340.13 × 21,340.13
4. Step 4: Simplify right side
   9,814.50x = 455,400,935.02
5. Step 5: Solve for x
   x = 455,400,935.02/9,814.50
6. Step 6: Final answer
   x = 46,400.83