Finding the Third Proportional to 37,644 and 74,342

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 74,342 = 74,342 : x
2. Step 2: Convert to fraction form
   37,644/74,342 = 74,342/x
3. Step 3: Cross multiply
   37,644x = 74,342 × 74,342
4. Step 4: Simplify right side
   37,644x = 5,526,732,964
5. Step 5: Solve for x
   x = 5,526,732,964/37,644
6. Step 6: Final answer
   x = 146,815.77