Finding the Third Proportional to 2,030 and 2,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,030 : 2,938.50 = 2,938.50 : x
2. Step 2: Convert to fraction form
   2,030/2,938.50 = 2,938.50/x
3. Step 3: Cross multiply
   2,030x = 2,938.50 × 2,938.50
4. Step 4: Simplify right side
   2,030x = 8,634,782.25
5. Step 5: Solve for x
   x = 8,634,782.25/2,030
6. Step 6: Final answer
   x = 4,253.59