Finding the Third Proportional to 1,653.06 and 2,069.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,653.06 : 2,069.53 = 2,069.53 : x
2. Step 2: Convert to fraction form
   1,653.06/2,069.53 = 2,069.53/x
3. Step 3: Cross multiply
   1,653.06x = 2,069.53 × 2,069.53
4. Step 4: Simplify right side
   1,653.06x = 4,282,971.72
5. Step 5: Solve for x
   x = 4,282,971.72/1,653.06
6. Step 6: Final answer
   x = 2,590.93