Finding the Third Proportional to 832.13 and 1,978.69

Step by Step Solution

1. Step 1: Write the proportion equation
   832.13 : 1,978.69 = 1,978.69 : x
2. Step 2: Convert to fraction form
   832.13/1,978.69 = 1,978.69/x
3. Step 3: Cross multiply
   832.13x = 1,978.69 × 1,978.69
4. Step 4: Simplify right side
   832.13x = 3,915,204.22
5. Step 5: Solve for x
   x = 3,915,204.22/832.13
6. Step 6: Final answer
   x = 4,705.07