Finding the Third Proportional to 37,974 and 78,381

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974 : 78,381 = 78,381 : x
2. Step 2: Convert to fraction form
   37,974/78,381 = 78,381/x
3. Step 3: Cross multiply
   37,974x = 78,381 × 78,381
4. Step 4: Simplify right side
   37,974x = 6,143,581,161
5. Step 5: Solve for x
   x = 6,143,581,161/37,974
6. Step 6: Final answer
   x = 161,783.88