Finding the Third Proportional to 30,677.25 and 65,724.75

Step by Step Solution

1. Step 1: Write the proportion equation
   30,677.25 : 65,724.75 = 65,724.75 : x
2. Step 2: Convert to fraction form
   30,677.25/65,724.75 = 65,724.75/x
3. Step 3: Cross multiply
   30,677.25x = 65,724.75 × 65,724.75
4. Step 4: Simplify right side
   30,677.25x = 4,319,742,762.56
5. Step 5: Solve for x
   x = 4,319,742,762.56/30,677.25
6. Step 6: Final answer
   x = 140,812.58