Finding the Third Proportional to 35,856 and 75,812.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,856 : 75,812.63 = 75,812.63 : x
2. Step 2: Convert to fraction form
   35,856/75,812.63 = 75,812.63/x
3. Step 3: Cross multiply
   35,856x = 75,812.63 × 75,812.63
4. Step 4: Simplify right side
   35,856x = 5,747,554,109.39
5. Step 5: Solve for x
   x = 5,747,554,109.39/35,856
6. Step 6: Final answer
   x = 160,295.46