Finding the Third Proportional to 39,746.25 and 84,093.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,746.25 : 84,093.75 = 84,093.75 : x
2. Step 2: Convert to fraction form
   39,746.25/84,093.75 = 84,093.75/x
3. Step 3: Cross multiply
   39,746.25x = 84,093.75 × 84,093.75
4. Step 4: Simplify right side
   39,746.25x = 7,071,758,789.06
5. Step 5: Solve for x
   x = 7,071,758,789.06/39,746.25
6. Step 6: Final answer
   x = 177,922.67