Finding the Third Proportional to 34,820 and 52,099

Step by Step Solution

1. Step 1: Write the proportion equation
   34,820 : 52,099 = 52,099 : x
2. Step 2: Convert to fraction form
   34,820/52,099 = 52,099/x
3. Step 3: Cross multiply
   34,820x = 52,099 × 52,099
4. Step 4: Simplify right side
   34,820x = 2,714,305,801
5. Step 5: Solve for x
   x = 2,714,305,801/34,820
6. Step 6: Final answer
   x = 77,952.49