Finding the Third Proportional to 37,944.25 and 83,269.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944.25 : 83,269.63 = 83,269.63 : x
2. Step 2: Convert to fraction form
   37,944.25/83,269.63 = 83,269.63/x
3. Step 3: Cross multiply
   37,944.25x = 83,269.63 × 83,269.63
4. Step 4: Simplify right side
   37,944.25x = 6,933,830,447.64
5. Step 5: Solve for x
   x = 6,933,830,447.64/37,944.25
6. Step 6: Final answer
   x = 182,737.32