Finding the Third Proportional to 37,615 and 81,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,615 : 81,975.50 = 81,975.50 : x
2. Step 2: Convert to fraction form
   37,615/81,975.50 = 81,975.50/x
3. Step 3: Cross multiply
   37,615x = 81,975.50 × 81,975.50
4. Step 4: Simplify right side
   37,615x = 6,719,982,600.25
5. Step 5: Solve for x
   x = 6,719,982,600.25/37,615
6. Step 6: Final answer
   x = 178,651.67