Finding the Third Proportional to 37,808.50 and 82,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,808.50 : 82,534.50 = 82,534.50 : x
2. Step 2: Convert to fraction form
   37,808.50/82,534.50 = 82,534.50/x
3. Step 3: Cross multiply
   37,808.50x = 82,534.50 × 82,534.50
4. Step 4: Simplify right side
   37,808.50x = 6,811,943,690.25
5. Step 5: Solve for x
   x = 6,811,943,690.25/37,808.50
6. Step 6: Final answer
   x = 180,169.64