Finding the Third Proportional to 30,877.50 and 65,745

Step by Step Solution

1. Step 1: Write the proportion equation
   30,877.50 : 65,745 = 65,745 : x
2. Step 2: Convert to fraction form
   30,877.50/65,745 = 65,745/x
3. Step 3: Cross multiply
   30,877.50x = 65,745 × 65,745
4. Step 4: Simplify right side
   30,877.50x = 4,322,405,025
5. Step 5: Solve for x
   x = 4,322,405,025/30,877.50
6. Step 6: Final answer
   x = 139,985.59