Finding the Third Proportional to 35,478 and 57,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,478 : 57,678.75 = 57,678.75 : x
2. Step 2: Convert to fraction form
   35,478/57,678.75 = 57,678.75/x
3. Step 3: Cross multiply
   35,478x = 57,678.75 × 57,678.75
4. Step 4: Simplify right side
   35,478x = 3,326,838,201.56
5. Step 5: Solve for x
   x = 3,326,838,201.56/35,478
6. Step 6: Final answer
   x = 93,771.86