Finding the Third Proportional to 1,415.63 and 2,039.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.63 : 2,039.06 = 2,039.06 : x
2. Step 2: Convert to fraction form
   1,415.63/2,039.06 = 2,039.06/x
3. Step 3: Cross multiply
   1,415.63x = 2,039.06 × 2,039.06
4. Step 4: Simplify right side
   1,415.63x = 4,157,775.88
5. Step 5: Solve for x
   x = 4,157,775.88/1,415.63
6. Step 6: Final answer
   x = 2,937.06