Finding the Third Proportional to 34,182 and 77,139

Step by Step Solution

1. Step 1: Write the proportion equation
   34,182 : 77,139 = 77,139 : x
2. Step 2: Convert to fraction form
   34,182/77,139 = 77,139/x
3. Step 3: Cross multiply
   34,182x = 77,139 × 77,139
4. Step 4: Simplify right side
   34,182x = 5,950,425,321
5. Step 5: Solve for x
   x = 5,950,425,321/34,182
6. Step 6: Final answer
   x = 174,080.67