Finding the Third Proportional to 34,806 and 74,532

Step by Step Solution

1. Step 1: Write the proportion equation
   34,806 : 74,532 = 74,532 : x
2. Step 2: Convert to fraction form
   34,806/74,532 = 74,532/x
3. Step 3: Cross multiply
   34,806x = 74,532 × 74,532
4. Step 4: Simplify right side
   34,806x = 5,555,019,024
5. Step 5: Solve for x
   x = 5,555,019,024/34,806
6. Step 6: Final answer
   x = 159,599.47