Finding the Third Proportional to 38,009.25 and 80,802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,009.25 : 80,802.56 = 80,802.56 : x
2. Step 2: Convert to fraction form
   38,009.25/80,802.56 = 80,802.56/x
3. Step 3: Cross multiply
   38,009.25x = 80,802.56 × 80,802.56
4. Step 4: Simplify right side
   38,009.25x = 6,529,054,106.57
5. Step 5: Solve for x
   x = 6,529,054,106.57/38,009.25
6. Step 6: Final answer
   x = 171,775.40