Finding the Third Proportional to 772.50 and 1,752

Step by Step Solution

1. Step 1: Write the proportion equation
   772.50 : 1,752 = 1,752 : x
2. Step 2: Convert to fraction form
   772.50/1,752 = 1,752/x
3. Step 3: Cross multiply
   772.50x = 1,752 × 1,752
4. Step 4: Simplify right side
   772.50x = 3,069,504
5. Step 5: Solve for x
   x = 3,069,504/772.50
6. Step 6: Final answer
   x = 3,973.47