Finding the Third Proportional to 384 and 521.25

Step by Step Solution

1. Step 1: Write the proportion equation
   384 : 521.25 = 521.25 : x
2. Step 2: Convert to fraction form
   384/521.25 = 521.25/x
3. Step 3: Cross multiply
   384x = 521.25 × 521.25
4. Step 4: Simplify right side
   384x = 271,701.56
5. Step 5: Solve for x
   x = 271,701.56/384
6. Step 6: Final answer
   x = 707.56