Finding the Third Proportional to 34,740 and 74,988

Step by Step Solution

1. Step 1: Write the proportion equation
   34,740 : 74,988 = 74,988 : x
2. Step 2: Convert to fraction form
   34,740/74,988 = 74,988/x
3. Step 3: Cross multiply
   34,740x = 74,988 × 74,988
4. Step 4: Simplify right side
   34,740x = 5,623,200,144
5. Step 5: Solve for x
   x = 5,623,200,144/34,740
6. Step 6: Final answer
   x = 161,865.29