Finding the Third Proportional to 52,138 and 83,946

Step by Step Solution

1. Step 1: Write the proportion equation
   52,138 : 83,946 = 83,946 : x
2. Step 2: Convert to fraction form
   52,138/83,946 = 83,946/x
3. Step 3: Cross multiply
   52,138x = 83,946 × 83,946
4. Step 4: Simplify right side
   52,138x = 7,046,930,916
5. Step 5: Solve for x
   x = 7,046,930,916/52,138
6. Step 6: Final answer
   x = 135,159.21