Finding the Third Proportional to 34,830 and 74,236.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,830 : 74,236.50 = 74,236.50 : x
2. Step 2: Convert to fraction form
   34,830/74,236.50 = 74,236.50/x
3. Step 3: Cross multiply
   34,830x = 74,236.50 × 74,236.50
4. Step 4: Simplify right side
   34,830x = 5,511,057,932.25
5. Step 5: Solve for x
   x = 5,511,057,932.25/34,830
6. Step 6: Final answer
   x = 158,227.33