Finding the Third Proportional to 37,356 and 80,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,356 : 80,935.50 = 80,935.50 : x
2. Step 2: Convert to fraction form
   37,356/80,935.50 = 80,935.50/x
3. Step 3: Cross multiply
   37,356x = 80,935.50 × 80,935.50
4. Step 4: Simplify right side
   37,356x = 6,550,555,160.25
5. Step 5: Solve for x
   x = 6,550,555,160.25/37,356
6. Step 6: Final answer
   x = 175,354.83