Finding the Third Proportional to 34,632 and 52,182

Step by Step Solution

1. Step 1: Write the proportion equation
   34,632 : 52,182 = 52,182 : x
2. Step 2: Convert to fraction form
   34,632/52,182 = 52,182/x
3. Step 3: Cross multiply
   34,632x = 52,182 × 52,182
4. Step 4: Simplify right side
   34,632x = 2,722,961,124
5. Step 5: Solve for x
   x = 2,722,961,124/34,632
6. Step 6: Final answer
   x = 78,625.58