Finding the Third Proportional to 1,777 and 3,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777 : 3,612.50 = 3,612.50 : x
2. Step 2: Convert to fraction form
   1,777/3,612.50 = 3,612.50/x
3. Step 3: Cross multiply
   1,777x = 3,612.50 × 3,612.50
4. Step 4: Simplify right side
   1,777x = 13,050,156.25
5. Step 5: Solve for x
   x = 13,050,156.25/1,777
6. Step 6: Final answer
   x = 7,343.93