Finding the Third Proportional to 51,615 and 72,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,615 : 72,682.50 = 72,682.50 : x
2. Step 2: Convert to fraction form
   51,615/72,682.50 = 72,682.50/x
3. Step 3: Cross multiply
   51,615x = 72,682.50 × 72,682.50
4. Step 4: Simplify right side
   51,615x = 5,282,745,806.25
5. Step 5: Solve for x
   x = 5,282,745,806.25/51,615
6. Step 6: Final answer
   x = 102,349.04