Finding the Third Proportional to 1,624.50 and 2,052

Step by Step Solution

1. Step 1: Write the proportion equation
   1,624.50 : 2,052 = 2,052 : x
2. Step 2: Convert to fraction form
   1,624.50/2,052 = 2,052/x
3. Step 3: Cross multiply
   1,624.50x = 2,052 × 2,052
4. Step 4: Simplify right side
   1,624.50x = 4,210,704
5. Step 5: Solve for x
   x = 4,210,704/1,624.50
6. Step 6: Final answer
   x = 2,592