Finding the Third Proportional to 37,669 and 55,369

Step by Step Solution

1. Step 1: Write the proportion equation
   37,669 : 55,369 = 55,369 : x
2. Step 2: Convert to fraction form
   37,669/55,369 = 55,369/x
3. Step 3: Cross multiply
   37,669x = 55,369 × 55,369
4. Step 4: Simplify right side
   37,669x = 3,065,726,161
5. Step 5: Solve for x
   x = 3,065,726,161/37,669
6. Step 6: Final answer
   x = 81,385.92