Finding the Third Proportional to 42,615 and 65,972.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,615 : 65,972.25 = 65,972.25 : x
2. Step 2: Convert to fraction form
   42,615/65,972.25 = 65,972.25/x
3. Step 3: Cross multiply
   42,615x = 65,972.25 × 65,972.25
4. Step 4: Simplify right side
   42,615x = 4,352,337,770.06
5. Step 5: Solve for x
   x = 4,352,337,770.06/42,615
6. Step 6: Final answer
   x = 102,131.59