Finding the Third Proportional to 692.61 and 1,015.98

Step by Step Solution

1. Step 1: Write the proportion equation
   692.61 : 1,015.98 = 1,015.98 : x
2. Step 2: Convert to fraction form
   692.61/1,015.98 = 1,015.98/x
3. Step 3: Cross multiply
   692.61x = 1,015.98 × 1,015.98
4. Step 4: Simplify right side
   692.61x = 1,032,216.31
5. Step 5: Solve for x
   x = 1,032,216.31/692.61
6. Step 6: Final answer
   x = 1,490.32