Finding the Third Proportional to 37,671.19 and 82,875.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,671.19 : 82,875.38 = 82,875.38 : x
2. Step 2: Convert to fraction form
   37,671.19/82,875.38 = 82,875.38/x
3. Step 3: Cross multiply
   37,671.19x = 82,875.38 × 82,875.38
4. Step 4: Simplify right side
   37,671.19x = 6,868,327,781.39
5. Step 5: Solve for x
   x = 6,868,327,781.39/37,671.19
6. Step 6: Final answer
   x = 182,323.10