Finding the Third Proportional to 35,722.27 and 78,733.27

Step by Step Solution

1. Step 1: Write the proportion equation
   35,722.27 : 78,733.27 = 78,733.27 : x
2. Step 2: Convert to fraction form
   35,722.27/78,733.27 = 78,733.27/x
3. Step 3: Cross multiply
   35,722.27x = 78,733.27 × 78,733.27
4. Step 4: Simplify right side
   35,722.27x = 6,198,927,115.98
5. Step 5: Solve for x
   x = 6,198,927,115.98/35,722.27
6. Step 6: Final answer
   x = 173,531.19