Finding the Third Proportional to 37,730 and 55,258

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 55,258 = 55,258 : x
2. Step 2: Convert to fraction form
   37,730/55,258 = 55,258/x
3. Step 3: Cross multiply
   37,730x = 55,258 × 55,258
4. Step 4: Simplify right side
   37,730x = 3,053,446,564
5. Step 5: Solve for x
   x = 3,053,446,564/37,730
6. Step 6: Final answer
   x = 80,928.88