Finding the Third Proportional to 27,810 and 41,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,810 : 41,953.50 = 41,953.50 : x
2. Step 2: Convert to fraction form
   27,810/41,953.50 = 41,953.50/x
3. Step 3: Cross multiply
   27,810x = 41,953.50 × 41,953.50
4. Step 4: Simplify right side
   27,810x = 1,760,096,162.25
5. Step 5: Solve for x
   x = 1,760,096,162.25/27,810
6. Step 6: Final answer
   x = 63,290.05