Finding the Third Proportional to 36,621 and 78,426

Step by Step Solution

1. Step 1: Write the proportion equation
   36,621 : 78,426 = 78,426 : x
2. Step 2: Convert to fraction form
   36,621/78,426 = 78,426/x
3. Step 3: Cross multiply
   36,621x = 78,426 × 78,426
4. Step 4: Simplify right side
   36,621x = 6,150,637,476
5. Step 5: Solve for x
   x = 6,150,637,476/36,621
6. Step 6: Final answer
   x = 167,953.84