Finding the Third Proportional to 34,762 and 75,898

Step by Step Solution

1. Step 1: Write the proportion equation
   34,762 : 75,898 = 75,898 : x
2. Step 2: Convert to fraction form
   34,762/75,898 = 75,898/x
3. Step 3: Cross multiply
   34,762x = 75,898 × 75,898
4. Step 4: Simplify right side
   34,762x = 5,760,506,404
5. Step 5: Solve for x
   x = 5,760,506,404/34,762
6. Step 6: Final answer
   x = 165,712.74