Finding the Third Proportional to 4,828.50 and 10,175.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,828.50 : 10,175.81 = 10,175.81 : x
2. Step 2: Convert to fraction form
   4,828.50/10,175.81 = 10,175.81/x
3. Step 3: Cross multiply
   4,828.50x = 10,175.81 × 10,175.81
4. Step 4: Simplify right side
   4,828.50x = 103,547,160.04
5. Step 5: Solve for x
   x = 103,547,160.04/4,828.50
6. Step 6: Final answer
   x = 21,445.00