Finding the Third Proportional to 37,858 and 52,946

Step by Step Solution

1. Step 1: Write the proportion equation
   37,858 : 52,946 = 52,946 : x
2. Step 2: Convert to fraction form
   37,858/52,946 = 52,946/x
3. Step 3: Cross multiply
   37,858x = 52,946 × 52,946
4. Step 4: Simplify right side
   37,858x = 2,803,278,916
5. Step 5: Solve for x
   x = 2,803,278,916/37,858
6. Step 6: Final answer
   x = 74,047.20