Finding the Third Proportional to 33,858 and 51,698.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,858 : 51,698.25 = 51,698.25 : x
2. Step 2: Convert to fraction form
   33,858/51,698.25 = 51,698.25/x
3. Step 3: Cross multiply
   33,858x = 51,698.25 × 51,698.25
4. Step 4: Simplify right side
   33,858x = 2,672,709,053.06
5. Step 5: Solve for x
   x = 2,672,709,053.06/33,858
6. Step 6: Final answer
   x = 78,938.78