Finding the Third Proportional to 34,778.25 and 74,477.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,778.25 : 74,477.25 = 74,477.25 : x
2. Step 2: Convert to fraction form
   34,778.25/74,477.25 = 74,477.25/x
3. Step 3: Cross multiply
   34,778.25x = 74,477.25 × 74,477.25
4. Step 4: Simplify right side
   34,778.25x = 5,546,860,767.56
5. Step 5: Solve for x
   x = 5,546,860,767.56/34,778.25
6. Step 6: Final answer
   x = 159,492.23