Finding the Third Proportional to 1,945.50 and 4,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.50 : 4,499.25 = 4,499.25 : x
2. Step 2: Convert to fraction form
   1,945.50/4,499.25 = 4,499.25/x
3. Step 3: Cross multiply
   1,945.50x = 4,499.25 × 4,499.25
4. Step 4: Simplify right side
   1,945.50x = 20,243,250.56
5. Step 5: Solve for x
   x = 20,243,250.56/1,945.50
6. Step 6: Final answer
   x = 10,405.17