Finding the Third Proportional to 35,683.50 and 78,171

Step by Step Solution

1. Step 1: Write the proportion equation
   35,683.50 : 78,171 = 78,171 : x
2. Step 2: Convert to fraction form
   35,683.50/78,171 = 78,171/x
3. Step 3: Cross multiply
   35,683.50x = 78,171 × 78,171
4. Step 4: Simplify right side
   35,683.50x = 6,110,705,241
5. Step 5: Solve for x
   x = 6,110,705,241/35,683.50
6. Step 6: Final answer
   x = 171,247.36