Finding the Third Proportional to 1,003.64 and 2,068.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.64 : 2,068.03 = 2,068.03 : x
2. Step 2: Convert to fraction form
   1,003.64/2,068.03 = 2,068.03/x
3. Step 3: Cross multiply
   1,003.64x = 2,068.03 × 2,068.03
4. Step 4: Simplify right side
   1,003.64x = 4,276,753.25
5. Step 5: Solve for x
   x = 4,276,753.25/1,003.64
6. Step 6: Final answer
   x = 4,261.24