Finding the Third Proportional to 38,415 and 57,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,415 : 57,622.50 = 57,622.50 : x
2. Step 2: Convert to fraction form
   38,415/57,622.50 = 57,622.50/x
3. Step 3: Cross multiply
   38,415x = 57,622.50 × 57,622.50
4. Step 4: Simplify right side
   38,415x = 3,320,352,506.25
5. Step 5: Solve for x
   x = 3,320,352,506.25/38,415
6. Step 6: Final answer
   x = 86,433.75