Finding the Third Proportional to 1,522 and 1,732

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522 : 1,732 = 1,732 : x
2. Step 2: Convert to fraction form
   1,522/1,732 = 1,732/x
3. Step 3: Cross multiply
   1,522x = 1,732 × 1,732
4. Step 4: Simplify right side
   1,522x = 2,999,824
5. Step 5: Solve for x
   x = 2,999,824/1,522
6. Step 6: Final answer
   x = 1,970.98