Finding the Third Proportional to 1,810.50 and 3,926.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,810.50 : 3,926.63 = 3,926.63 : x
2. Step 2: Convert to fraction form
   1,810.50/3,926.63 = 3,926.63/x
3. Step 3: Cross multiply
   1,810.50x = 3,926.63 × 3,926.63
4. Step 4: Simplify right side
   1,810.50x = 15,418,383.89
5. Step 5: Solve for x
   x = 15,418,383.89/1,810.50
6. Step 6: Final answer
   x = 8,516.09