Finding the Third Proportional to 37,693 and 55,415

Step by Step Solution

1. Step 1: Write the proportion equation
   37,693 : 55,415 = 55,415 : x
2. Step 2: Convert to fraction form
   37,693/55,415 = 55,415/x
3. Step 3: Cross multiply
   37,693x = 55,415 × 55,415
4. Step 4: Simplify right side
   37,693x = 3,070,822,225
5. Step 5: Solve for x
   x = 3,070,822,225/37,693
6. Step 6: Final answer
   x = 81,469.30