Finding the Third Proportional to 55,419.75 and 82,684.13

Step by Step Solution

1. Step 1: Write the proportion equation
   55,419.75 : 82,684.13 = 82,684.13 : x
2. Step 2: Convert to fraction form
   55,419.75/82,684.13 = 82,684.13/x
3. Step 3: Cross multiply
   55,419.75x = 82,684.13 × 82,684.13
4. Step 4: Simplify right side
   55,419.75x = 6,836,664,527.02
5. Step 5: Solve for x
   x = 6,836,664,527.02/55,419.75
6. Step 6: Final answer
   x = 123,361.52