Finding the Third Proportional to 42,740 and 93,005

Step by Step Solution

1. Step 1: Write the proportion equation
   42,740 : 93,005 = 93,005 : x
2. Step 2: Convert to fraction form
   42,740/93,005 = 93,005/x
3. Step 3: Cross multiply
   42,740x = 93,005 × 93,005
4. Step 4: Simplify right side
   42,740x = 8,649,930,025
5. Step 5: Solve for x
   x = 8,649,930,025/42,740
6. Step 6: Final answer
   x = 202,384.89