Finding the Third Proportional to 1,832.50 and 4,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,832.50 : 4,074.50 = 4,074.50 : x
2. Step 2: Convert to fraction form
   1,832.50/4,074.50 = 4,074.50/x
3. Step 3: Cross multiply
   1,832.50x = 4,074.50 × 4,074.50
4. Step 4: Simplify right side
   1,832.50x = 16,601,550.25
5. Step 5: Solve for x
   x = 16,601,550.25/1,832.50
6. Step 6: Final answer
   x = 9,059.51