Finding the Third Proportional to 37,724 and 78,548

Step by Step Solution

1. Step 1: Write the proportion equation
   37,724 : 78,548 = 78,548 : x
2. Step 2: Convert to fraction form
   37,724/78,548 = 78,548/x
3. Step 3: Cross multiply
   37,724x = 78,548 × 78,548
4. Step 4: Simplify right side
   37,724x = 6,169,788,304
5. Step 5: Solve for x
   x = 6,169,788,304/37,724
6. Step 6: Final answer
   x = 163,550.74