Finding the Third Proportional to 27,258 and 41,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,258 : 41,022.50 = 41,022.50 : x
2. Step 2: Convert to fraction form
   27,258/41,022.50 = 41,022.50/x
3. Step 3: Cross multiply
   27,258x = 41,022.50 × 41,022.50
4. Step 4: Simplify right side
   27,258x = 1,682,845,506.25
5. Step 5: Solve for x
   x = 1,682,845,506.25/27,258
6. Step 6: Final answer
   x = 61,737.67