Finding the Third Proportional to 1,010 and 1,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010 : 1,521.50 = 1,521.50 : x
2. Step 2: Convert to fraction form
   1,010/1,521.50 = 1,521.50/x
3. Step 3: Cross multiply
   1,010x = 1,521.50 × 1,521.50
4. Step 4: Simplify right side
   1,010x = 2,314,962.25
5. Step 5: Solve for x
   x = 2,314,962.25/1,010
6. Step 6: Final answer
   x = 2,292.04