Finding the Third Proportional to 34,866 and 74,520

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 74,520 = 74,520 : x
2. Step 2: Convert to fraction form
   34,866/74,520 = 74,520/x
3. Step 3: Cross multiply
   34,866x = 74,520 × 74,520
4. Step 4: Simplify right side
   34,866x = 5,553,230,400
5. Step 5: Solve for x
   x = 5,553,230,400/34,866
6. Step 6: Final answer
   x = 159,273.52