Finding the Third Proportional to 10,046.53 and 21,823.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046.53 : 21,823.17 = 21,823.17 : x
2. Step 2: Convert to fraction form
   10,046.53/21,823.17 = 21,823.17/x
3. Step 3: Cross multiply
   10,046.53x = 21,823.17 × 21,823.17
4. Step 4: Simplify right side
   10,046.53x = 476,250,830.69
5. Step 5: Solve for x
   x = 476,250,830.69/10,046.53
6. Step 6: Final answer
   x = 47,404.50