Finding the Third Proportional to 37,810 and 82,528

Step by Step Solution

1. Step 1: Write the proportion equation
   37,810 : 82,528 = 82,528 : x
2. Step 2: Convert to fraction form
   37,810/82,528 = 82,528/x
3. Step 3: Cross multiply
   37,810x = 82,528 × 82,528
4. Step 4: Simplify right side
   37,810x = 6,810,870,784
5. Step 5: Solve for x
   x = 6,810,870,784/37,810
6. Step 6: Final answer
   x = 180,134.11