Finding the Third Proportional to 35,670 and 46,914

Step by Step Solution

1. Step 1: Write the proportion equation
   35,670 : 46,914 = 46,914 : x
2. Step 2: Convert to fraction form
   35,670/46,914 = 46,914/x
3. Step 3: Cross multiply
   35,670x = 46,914 × 46,914
4. Step 4: Simplify right side
   35,670x = 2,200,923,396
5. Step 5: Solve for x
   x = 2,200,923,396/35,670
6. Step 6: Final answer
   x = 61,702.37