Finding the Third Proportional to 35,342 and 54,146

Step by Step Solution

1. Step 1: Write the proportion equation
   35,342 : 54,146 = 54,146 : x
2. Step 2: Convert to fraction form
   35,342/54,146 = 54,146/x
3. Step 3: Cross multiply
   35,342x = 54,146 × 54,146
4. Step 4: Simplify right side
   35,342x = 2,931,789,316
5. Step 5: Solve for x
   x = 2,931,789,316/35,342
6. Step 6: Final answer
   x = 82,954.82