Finding the Third Proportional to 30,711 and 64,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,711 : 64,516.50 = 64,516.50 : x
2. Step 2: Convert to fraction form
   30,711/64,516.50 = 64,516.50/x
3. Step 3: Cross multiply
   30,711x = 64,516.50 × 64,516.50
4. Step 4: Simplify right side
   30,711x = 4,162,378,772.25
5. Step 5: Solve for x
   x = 4,162,378,772.25/30,711
6. Step 6: Final answer
   x = 135,533.81