Finding the Third Proportional to 36,652.50 and 79,683.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,652.50 : 79,683.75 = 79,683.75 : x
2. Step 2: Convert to fraction form
   36,652.50/79,683.75 = 79,683.75/x
3. Step 3: Cross multiply
   36,652.50x = 79,683.75 × 79,683.75
4. Step 4: Simplify right side
   36,652.50x = 6,349,500,014.06
5. Step 5: Solve for x
   x = 6,349,500,014.06/36,652.50
6. Step 6: Final answer
   x = 173,235.11