Finding the Third Proportional to 37,117.50 and 80,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,117.50 : 80,896.50 = 80,896.50 : x
2. Step 2: Convert to fraction form
   37,117.50/80,896.50 = 80,896.50/x
3. Step 3: Cross multiply
   37,117.50x = 80,896.50 × 80,896.50
4. Step 4: Simplify right side
   37,117.50x = 6,544,243,712.25
5. Step 5: Solve for x
   x = 6,544,243,712.25/37,117.50
6. Step 6: Final answer
   x = 176,311.54