Finding the Third Proportional to 37,643 and 74,341

Step by Step Solution

1. Step 1: Write the proportion equation
   37,643 : 74,341 = 74,341 : x
2. Step 2: Convert to fraction form
   37,643/74,341 = 74,341/x
3. Step 3: Cross multiply
   37,643x = 74,341 × 74,341
4. Step 4: Simplify right side
   37,643x = 5,526,584,281
5. Step 5: Solve for x
   x = 5,526,584,281/37,643
6. Step 6: Final answer
   x = 146,815.72