Finding the Third Proportional to 1,493.63 and 2,950.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,493.63 : 2,950.50 = 2,950.50 : x
2. Step 2: Convert to fraction form
   1,493.63/2,950.50 = 2,950.50/x
3. Step 3: Cross multiply
   1,493.63x = 2,950.50 × 2,950.50
4. Step 4: Simplify right side
   1,493.63x = 8,705,450.25
5. Step 5: Solve for x
   x = 8,705,450.25/1,493.63
6. Step 6: Final answer
   x = 5,828.40