Finding the Third Proportional to 37,356 and 61,866

Step by Step Solution

1. Step 1: Write the proportion equation
   37,356 : 61,866 = 61,866 : x
2. Step 2: Convert to fraction form
   37,356/61,866 = 61,866/x
3. Step 3: Cross multiply
   37,356x = 61,866 × 61,866
4. Step 4: Simplify right side
   37,356x = 3,827,401,956
5. Step 5: Solve for x
   x = 3,827,401,956/37,356
6. Step 6: Final answer
   x = 102,457.49