Finding the Third Proportional to 52,194 and 84,034

Step by Step Solution

1. Step 1: Write the proportion equation
   52,194 : 84,034 = 84,034 : x
2. Step 2: Convert to fraction form
   52,194/84,034 = 84,034/x
3. Step 3: Cross multiply
   52,194x = 84,034 × 84,034
4. Step 4: Simplify right side
   52,194x = 7,061,713,156
5. Step 5: Solve for x
   x = 7,061,713,156/52,194
6. Step 6: Final answer
   x = 135,297.41