Finding the Third Proportional to 37,493 and 78,426

Step by Step Solution

1. Step 1: Write the proportion equation
   37,493 : 78,426 = 78,426 : x
2. Step 2: Convert to fraction form
   37,493/78,426 = 78,426/x
3. Step 3: Cross multiply
   37,493x = 78,426 × 78,426
4. Step 4: Simplify right side
   37,493x = 6,150,637,476
5. Step 5: Solve for x
   x = 6,150,637,476/37,493
6. Step 6: Final answer
   x = 164,047.62