Finding the Third Proportional to 37,314 and 75,924

Step by Step Solution

1. Step 1: Write the proportion equation
   37,314 : 75,924 = 75,924 : x
2. Step 2: Convert to fraction form
   37,314/75,924 = 75,924/x
3. Step 3: Cross multiply
   37,314x = 75,924 × 75,924
4. Step 4: Simplify right side
   37,314x = 5,764,453,776
5. Step 5: Solve for x
   x = 5,764,453,776/37,314
6. Step 6: Final answer
   x = 154,485.01