Finding the Third Proportional to 37,665 and 61,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 61,357.50 = 61,357.50 : x
2. Step 2: Convert to fraction form
   37,665/61,357.50 = 61,357.50/x
3. Step 3: Cross multiply
   37,665x = 61,357.50 × 61,357.50
4. Step 4: Simplify right side
   37,665x = 3,764,742,806.25
5. Step 5: Solve for x
   x = 3,764,742,806.25/37,665
6. Step 6: Final answer
   x = 99,953.35