Finding the Third Proportional to 35,683.50 and 75,390

Step by Step Solution

1. Step 1: Write the proportion equation
   35,683.50 : 75,390 = 75,390 : x
2. Step 2: Convert to fraction form
   35,683.50/75,390 = 75,390/x
3. Step 3: Cross multiply
   35,683.50x = 75,390 × 75,390
4. Step 4: Simplify right side
   35,683.50x = 5,683,652,100
5. Step 5: Solve for x
   x = 5,683,652,100/35,683.50
6. Step 6: Final answer
   x = 159,279.56