Finding the Third Proportional to 34,684.75 and 74,768.63

Step by Step Solution

1. Step 1: Write the proportion equation
   34,684.75 : 74,768.63 = 74,768.63 : x
2. Step 2: Convert to fraction form
   34,684.75/74,768.63 = 74,768.63/x
3. Step 3: Cross multiply
   34,684.75x = 74,768.63 × 74,768.63
4. Step 4: Simplify right side
   34,684.75x = 5,590,347,284.39
5. Step 5: Solve for x
   x = 5,590,347,284.39/34,684.75
6. Step 6: Final answer
   x = 161,175.94