Finding the Third Proportional to 1,947.38 and 2,914.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.38 : 2,914.31 = 2,914.31 : x
2. Step 2: Convert to fraction form
   1,947.38/2,914.31 = 2,914.31/x
3. Step 3: Cross multiply
   1,947.38x = 2,914.31 × 2,914.31
4. Step 4: Simplify right side
   1,947.38x = 8,493,217.35
5. Step 5: Solve for x
   x = 8,493,217.35/1,947.38
6. Step 6: Final answer
   x = 4,361.37