Finding the Third Proportional to 28,615 and 38,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   28,615 : 38,206.50 = 38,206.50 : x
2. Step 2: Convert to fraction form
   28,615/38,206.50 = 38,206.50/x
3. Step 3: Cross multiply
   28,615x = 38,206.50 × 38,206.50
4. Step 4: Simplify right side
   28,615x = 1,459,736,642.25
5. Step 5: Solve for x
   x = 1,459,736,642.25/28,615
6. Step 6: Final answer
   x = 51,012.99