Finding the Third Proportional to 1,254.23 and 1,941.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,254.23 : 1,941.47 = 1,941.47 : x
2. Step 2: Convert to fraction form
   1,254.23/1,941.47 = 1,941.47/x
3. Step 3: Cross multiply
   1,254.23x = 1,941.47 × 1,941.47
4. Step 4: Simplify right side
   1,254.23x = 3,769,300.91
5. Step 5: Solve for x
   x = 3,769,300.91/1,254.23
6. Step 6: Final answer
   x = 3,005.26