Finding the Third Proportional to 1,058.06 and 1,601.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.06 : 1,601.02 = 1,601.02 : x
2. Step 2: Convert to fraction form
   1,058.06/1,601.02 = 1,601.02/x
3. Step 3: Cross multiply
   1,058.06x = 1,601.02 × 1,601.02
4. Step 4: Simplify right side
   1,058.06x = 2,563,251.03
5. Step 5: Solve for x
   x = 2,563,251.03/1,058.06
6. Step 6: Final answer
   x = 2,422.59