Finding the Third Proportional to 1,976.63 and 4,010.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.63 : 4,010.06 = 4,010.06 : x
2. Step 2: Convert to fraction form
   1,976.63/4,010.06 = 4,010.06/x
3. Step 3: Cross multiply
   1,976.63x = 4,010.06 × 4,010.06
4. Step 4: Simplify right side
   1,976.63x = 16,080,601.25
5. Step 5: Solve for x
   x = 16,080,601.25/1,976.63
6. Step 6: Final answer
   x = 8,135.38