Finding the Third Proportional to 52,906 and 71,774

Step by Step Solution

1. Step 1: Write the proportion equation
   52,906 : 71,774 = 71,774 : x
2. Step 2: Convert to fraction form
   52,906/71,774 = 71,774/x
3. Step 3: Cross multiply
   52,906x = 71,774 × 71,774
4. Step 4: Simplify right side
   52,906x = 5,151,507,076
5. Step 5: Solve for x
   x = 5,151,507,076/52,906
6. Step 6: Final answer
   x = 97,370.94