Finding the Third Proportional to 35,727.75 and 76,916.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,727.75 : 76,916.25 = 76,916.25 : x
2. Step 2: Convert to fraction form
   35,727.75/76,916.25 = 76,916.25/x
3. Step 3: Cross multiply
   35,727.75x = 76,916.25 × 76,916.25
4. Step 4: Simplify right side
   35,727.75x = 5,916,109,514.06
5. Step 5: Solve for x
   x = 5,916,109,514.06/35,727.75
6. Step 6: Final answer
   x = 165,588.64