Finding the Third Proportional to 972.83 and 2,142.15

Step by Step Solution

1. Step 1: Write the proportion equation
   972.83 : 2,142.15 = 2,142.15 : x
2. Step 2: Convert to fraction form
   972.83/2,142.15 = 2,142.15/x
3. Step 3: Cross multiply
   972.83x = 2,142.15 × 2,142.15
4. Step 4: Simplify right side
   972.83x = 4,588,804.11
5. Step 5: Solve for x
   x = 4,588,804.11/972.83
6. Step 6: Final answer
   x = 4,716.96