Finding the Third Proportional to 38,772 and 55,181.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,772 : 55,181.25 = 55,181.25 : x
2. Step 2: Convert to fraction form
   38,772/55,181.25 = 55,181.25/x
3. Step 3: Cross multiply
   38,772x = 55,181.25 × 55,181.25
4. Step 4: Simplify right side
   38,772x = 3,044,970,351.56
5. Step 5: Solve for x
   x = 3,044,970,351.56/38,772
6. Step 6: Final answer
   x = 78,535.29