Finding the Third Proportional to 37,671.75 and 81,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671.75 : 81,904.50 = 81,904.50 : x
2. Step 2: Convert to fraction form
   37,671.75/81,904.50 = 81,904.50/x
3. Step 3: Cross multiply
   37,671.75x = 81,904.50 × 81,904.50
4. Step 4: Simplify right side
   37,671.75x = 6,708,347,120.25
5. Step 5: Solve for x
   x = 6,708,347,120.25/37,671.75
6. Step 6: Final answer
   x = 178,073.68