Finding the Third Proportional to 35,853.89 and 78,785.16

Step by Step Solution

1. Step 1: Write the proportion equation
   35,853.89 : 78,785.16 = 78,785.16 : x
2. Step 2: Convert to fraction form
   35,853.89/78,785.16 = 78,785.16/x
3. Step 3: Cross multiply
   35,853.89x = 78,785.16 × 78,785.16
4. Step 4: Simplify right side
   35,853.89x = 6,207,100,845.34
5. Step 5: Solve for x
   x = 6,207,100,845.34/35,853.89
6. Step 6: Final answer
   x = 173,122.10