Finding the Third Proportional to 37,738 and 78,574

Step by Step Solution

1. Step 1: Write the proportion equation
   37,738 : 78,574 = 78,574 : x
2. Step 2: Convert to fraction form
   37,738/78,574 = 78,574/x
3. Step 3: Cross multiply
   37,738x = 78,574 × 78,574
4. Step 4: Simplify right side
   37,738x = 6,173,873,476
5. Step 5: Solve for x
   x = 6,173,873,476/37,738
6. Step 6: Final answer
   x = 163,598.32