Finding the Third Proportional to 37,721.25 and 82,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,721.25 : 82,696.50 = 82,696.50 : x
2. Step 2: Convert to fraction form
   37,721.25/82,696.50 = 82,696.50/x
3. Step 3: Cross multiply
   37,721.25x = 82,696.50 × 82,696.50
4. Step 4: Simplify right side
   37,721.25x = 6,838,711,112.25
5. Step 5: Solve for x
   x = 6,838,711,112.25/37,721.25
6. Step 6: Final answer
   x = 181,295.98