Finding the Third Proportional to 345.50 and 535.25

Step by Step Solution

1. Step 1: Write the proportion equation
   345.50 : 535.25 = 535.25 : x
2. Step 2: Convert to fraction form
   345.50/535.25 = 535.25/x
3. Step 3: Cross multiply
   345.50x = 535.25 × 535.25
4. Step 4: Simplify right side
   345.50x = 286,492.56
5. Step 5: Solve for x
   x = 286,492.56/345.50
6. Step 6: Final answer
   x = 829.21