Finding the Third Proportional to 37,730 and 78,561

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 78,561 = 78,561 : x
2. Step 2: Convert to fraction form
   37,730/78,561 = 78,561/x
3. Step 3: Cross multiply
   37,730x = 78,561 × 78,561
4. Step 4: Simplify right side
   37,730x = 6,171,830,721
5. Step 5: Solve for x
   x = 6,171,830,721/37,730
6. Step 6: Final answer
   x = 163,578.87