Finding the Third Proportional to 345.50 and 762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345.50 : 762.50 = 762.50 : x
2. Step 2: Convert to fraction form
   345.50/762.50 = 762.50/x
3. Step 3: Cross multiply
   345.50x = 762.50 × 762.50
4. Step 4: Simplify right side
   345.50x = 581,406.25
5. Step 5: Solve for x
   x = 581,406.25/345.50
6. Step 6: Final answer
   x = 1,682.80