Finding the Third Proportional to 35,633.25 and 76,916.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,633.25 : 76,916.25 = 76,916.25 : x
2. Step 2: Convert to fraction form
   35,633.25/76,916.25 = 76,916.25/x
3. Step 3: Cross multiply
   35,633.25x = 76,916.25 × 76,916.25
4. Step 4: Simplify right side
   35,633.25x = 5,916,109,514.06
5. Step 5: Solve for x
   x = 5,916,109,514.06/35,633.25
6. Step 6: Final answer
   x = 166,027.78