Finding the Third Proportional to 55,827 and 75,810

Step by Step Solution

1. Step 1: Write the proportion equation
   55,827 : 75,810 = 75,810 : x
2. Step 2: Convert to fraction form
   55,827/75,810 = 75,810/x
3. Step 3: Cross multiply
   55,827x = 75,810 × 75,810
4. Step 4: Simplify right side
   55,827x = 5,747,156,100
5. Step 5: Solve for x
   x = 5,747,156,100/55,827
6. Step 6: Final answer
   x = 102,945.82