Finding the Third Proportional to 2,386.50 and 3,437.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.50 : 3,437.06 = 3,437.06 : x
2. Step 2: Convert to fraction form
   2,386.50/3,437.06 = 3,437.06/x
3. Step 3: Cross multiply
   2,386.50x = 3,437.06 × 3,437.06
4. Step 4: Simplify right side
   2,386.50x = 11,813,398.63
5. Step 5: Solve for x
   x = 11,813,398.63/2,386.50
6. Step 6: Final answer
   x = 4,950.09