Finding the Third Proportional to 37,936 and 83,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,936 : 83,015.50 = 83,015.50 : x
2. Step 2: Convert to fraction form
   37,936/83,015.50 = 83,015.50/x
3. Step 3: Cross multiply
   37,936x = 83,015.50 × 83,015.50
4. Step 4: Simplify right side
   37,936x = 6,891,573,240.25
5. Step 5: Solve for x
   x = 6,891,573,240.25/37,936
6. Step 6: Final answer
   x = 181,663.15