Finding the Third Proportional to 35,286 and 75,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,286 : 75,688.50 = 75,688.50 : x
2. Step 2: Convert to fraction form
   35,286/75,688.50 = 75,688.50/x
3. Step 3: Cross multiply
   35,286x = 75,688.50 × 75,688.50
4. Step 4: Simplify right side
   35,286x = 5,728,749,032.25
5. Step 5: Solve for x
   x = 5,728,749,032.25/35,286
6. Step 6: Final answer
   x = 162,351.90