Finding the Third Proportional to 37,345.50 and 82,074

Step by Step Solution

1. Step 1: Write the proportion equation
   37,345.50 : 82,074 = 82,074 : x
2. Step 2: Convert to fraction form
   37,345.50/82,074 = 82,074/x
3. Step 3: Cross multiply
   37,345.50x = 82,074 × 82,074
4. Step 4: Simplify right side
   37,345.50x = 6,736,141,476
5. Step 5: Solve for x
   x = 6,736,141,476/37,345.50
6. Step 6: Final answer
   x = 180,373.58