Finding the Third Proportional to 692.50 and 746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   692.50 : 746.50 = 746.50 : x
2. Step 2: Convert to fraction form
   692.50/746.50 = 746.50/x
3. Step 3: Cross multiply
   692.50x = 746.50 × 746.50
4. Step 4: Simplify right side
   692.50x = 557,262.25
5. Step 5: Solve for x
   x = 557,262.25/692.50
6. Step 6: Final answer
   x = 804.71