Finding the Third Proportional to 35,986.50 and 78,435

Step by Step Solution

1. Step 1: Write the proportion equation
   35,986.50 : 78,435 = 78,435 : x
2. Step 2: Convert to fraction form
   35,986.50/78,435 = 78,435/x
3. Step 3: Cross multiply
   35,986.50x = 78,435 × 78,435
4. Step 4: Simplify right side
   35,986.50x = 6,152,049,225
5. Step 5: Solve for x
   x = 6,152,049,225/35,986.50
6. Step 6: Final answer
   x = 170,954.36