Finding the Third Proportional to 27,830.81 and 56,633.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,830.81 : 56,633.63 = 56,633.63 : x
2. Step 2: Convert to fraction form
   27,830.81/56,633.63 = 56,633.63/x
3. Step 3: Cross multiply
   27,830.81x = 56,633.63 × 56,633.63
4. Step 4: Simplify right side
   27,830.81x = 3,207,367,480.64
5. Step 5: Solve for x
   x = 3,207,367,480.64/27,830.81
6. Step 6: Final answer
   x = 115,245.20