Finding the Third Proportional to 52,596 and 77,134

Step by Step Solution

1. Step 1: Write the proportion equation
   52,596 : 77,134 = 77,134 : x
2. Step 2: Convert to fraction form
   52,596/77,134 = 77,134/x
3. Step 3: Cross multiply
   52,596x = 77,134 × 77,134
4. Step 4: Simplify right side
   52,596x = 5,949,653,956
5. Step 5: Solve for x
   x = 5,949,653,956/52,596
6. Step 6: Final answer
   x = 113,119.89