Finding the Third Proportional to 34,615 and 81,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,615 : 81,047.50 = 81,047.50 : x
2. Step 2: Convert to fraction form
   34,615/81,047.50 = 81,047.50/x
3. Step 3: Cross multiply
   34,615x = 81,047.50 × 81,047.50
4. Step 4: Simplify right side
   34,615x = 6,568,697,256.25
5. Step 5: Solve for x
   x = 6,568,697,256.25/34,615
6. Step 6: Final answer
   x = 189,764.47