Finding the Third Proportional to 34,142 and 52,749

Step by Step Solution

1. Step 1: Write the proportion equation
   34,142 : 52,749 = 52,749 : x
2. Step 2: Convert to fraction form
   34,142/52,749 = 52,749/x
3. Step 3: Cross multiply
   34,142x = 52,749 × 52,749
4. Step 4: Simplify right side
   34,142x = 2,782,457,001
5. Step 5: Solve for x
   x = 2,782,457,001/34,142
6. Step 6: Final answer
   x = 81,496.60