Finding the Third Proportional to 34,076 and 52,194

Step by Step Solution

1. Step 1: Write the proportion equation
   34,076 : 52,194 = 52,194 : x
2. Step 2: Convert to fraction form
   34,076/52,194 = 52,194/x
3. Step 3: Cross multiply
   34,076x = 52,194 × 52,194
4. Step 4: Simplify right side
   34,076x = 2,724,213,636
5. Step 5: Solve for x
   x = 2,724,213,636/34,076
6. Step 6: Final answer
   x = 79,945.23