Finding the Third Proportional to 35,964 and 76,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,964 : 76,018.50 = 76,018.50 : x
2. Step 2: Convert to fraction form
   35,964/76,018.50 = 76,018.50/x
3. Step 3: Cross multiply
   35,964x = 76,018.50 × 76,018.50
4. Step 4: Simplify right side
   35,964x = 5,778,812,342.25
5. Step 5: Solve for x
   x = 5,778,812,342.25/35,964
6. Step 6: Final answer
   x = 160,683.25