Finding the Third Proportional to 1,473 and 2,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,473 : 2,419.50 = 2,419.50 : x
2. Step 2: Convert to fraction form
   1,473/2,419.50 = 2,419.50/x
3. Step 3: Cross multiply
   1,473x = 2,419.50 × 2,419.50
4. Step 4: Simplify right side
   1,473x = 5,853,980.25
5. Step 5: Solve for x
   x = 5,853,980.25/1,473
6. Step 6: Final answer
   x = 3,974.19