Finding the Third Proportional to 19,782 and 29,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,782 : 29,085.75 = 29,085.75 : x
2. Step 2: Convert to fraction form
   19,782/29,085.75 = 29,085.75/x
3. Step 3: Cross multiply
   19,782x = 29,085.75 × 29,085.75
4. Step 4: Simplify right side
   19,782x = 845,980,853.06
5. Step 5: Solve for x
   x = 845,980,853.06/19,782
6. Step 6: Final answer
   x = 42,765.18