Finding the Third Proportional to 37,513 and 81,466

Step by Step Solution

1. Step 1: Write the proportion equation
   37,513 : 81,466 = 81,466 : x
2. Step 2: Convert to fraction form
   37,513/81,466 = 81,466/x
3. Step 3: Cross multiply
   37,513x = 81,466 × 81,466
4. Step 4: Simplify right side
   37,513x = 6,636,709,156
5. Step 5: Solve for x
   x = 6,636,709,156/37,513
6. Step 6: Final answer
   x = 176,917.58