Finding the Third Proportional to 1,062.84 and 1,652.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.84 : 1,652.06 = 1,652.06 : x
2. Step 2: Convert to fraction form
   1,062.84/1,652.06 = 1,652.06/x
3. Step 3: Cross multiply
   1,062.84x = 1,652.06 × 1,652.06
4. Step 4: Simplify right side
   1,062.84x = 2,729,310.50
5. Step 5: Solve for x
   x = 2,729,310.50/1,062.84
6. Step 6: Final answer
   x = 2,567.93