Finding the Third Proportional to 1,746.56 and 3,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 3,820.50 = 3,820.50 : x
2. Step 2: Convert to fraction form
   1,746.56/3,820.50 = 3,820.50/x
3. Step 3: Cross multiply
   1,746.56x = 3,820.50 × 3,820.50
4. Step 4: Simplify right side
   1,746.56x = 14,596,220.25
5. Step 5: Solve for x
   x = 14,596,220.25/1,746.56
6. Step 6: Final answer
   x = 8,357.11