Finding the Third Proportional to 34,538 and 74,590

Step by Step Solution

1. Step 1: Write the proportion equation
   34,538 : 74,590 = 74,590 : x
2. Step 2: Convert to fraction form
   34,538/74,590 = 74,590/x
3. Step 3: Cross multiply
   34,538x = 74,590 × 74,590
4. Step 4: Simplify right side
   34,538x = 5,563,668,100
5. Step 5: Solve for x
   x = 5,563,668,100/34,538
6. Step 6: Final answer
   x = 161,088.31