Finding the Third Proportional to 37,735 and 56,696

Step by Step Solution

1. Step 1: Write the proportion equation
   37,735 : 56,696 = 56,696 : x
2. Step 2: Convert to fraction form
   37,735/56,696 = 56,696/x
3. Step 3: Cross multiply
   37,735x = 56,696 × 56,696
4. Step 4: Simplify right side
   37,735x = 3,214,436,416
5. Step 5: Solve for x
   x = 3,214,436,416/37,735
6. Step 6: Final answer
   x = 85,184.48