Finding the Third Proportional to 2,032 and 2,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,032 : 2,970.50 = 2,970.50 : x
2. Step 2: Convert to fraction form
   2,032/2,970.50 = 2,970.50/x
3. Step 3: Cross multiply
   2,032x = 2,970.50 × 2,970.50
4. Step 4: Simplify right side
   2,032x = 8,823,870.25
5. Step 5: Solve for x
   x = 8,823,870.25/2,032
6. Step 6: Final answer
   x = 4,342.46