Finding the Third Proportional to 53,883 and 77,139

Step by Step Solution

1. Step 1: Write the proportion equation
   53,883 : 77,139 = 77,139 : x
2. Step 2: Convert to fraction form
   53,883/77,139 = 77,139/x
3. Step 3: Cross multiply
   53,883x = 77,139 × 77,139
4. Step 4: Simplify right side
   53,883x = 5,950,425,321
5. Step 5: Solve for x
   x = 5,950,425,321/53,883
6. Step 6: Final answer
   x = 110,432.33