Finding the Third Proportional to 19,784 and 46,702.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,784 : 46,702.75 = 46,702.75 : x
2. Step 2: Convert to fraction form
   19,784/46,702.75 = 46,702.75/x
3. Step 3: Cross multiply
   19,784x = 46,702.75 × 46,702.75
4. Step 4: Simplify right side
   19,784x = 2,181,146,857.56
5. Step 5: Solve for x
   x = 2,181,146,857.56/19,784
6. Step 6: Final answer
   x = 110,248.02