Finding the Third Proportional to 1,526.06 and 1,724.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.06 : 1,724.06 = 1,724.06 : x
2. Step 2: Convert to fraction form
   1,526.06/1,724.06 = 1,724.06/x
3. Step 3: Cross multiply
   1,526.06x = 1,724.06 × 1,724.06
4. Step 4: Simplify right side
   1,526.06x = 2,972,391.50
5. Step 5: Solve for x
   x = 2,972,391.50/1,526.06
6. Step 6: Final answer
   x = 1,947.75