Finding the Third Proportional to 35,664.75 and 75,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,664.75 : 75,683.25 = 75,683.25 : x
2. Step 2: Convert to fraction form
   35,664.75/75,683.25 = 75,683.25/x
3. Step 3: Cross multiply
   35,664.75x = 75,683.25 × 75,683.25
4. Step 4: Simplify right side
   35,664.75x = 5,727,954,330.56
5. Step 5: Solve for x
   x = 5,727,954,330.56/35,664.75
6. Step 6: Final answer
   x = 160,605.48