Finding the Third Proportional to 19,823.91 and 42,742.55

Step by Step Solution

1. Step 1: Write the proportion equation
   19,823.91 : 42,742.55 = 42,742.55 : x
2. Step 2: Convert to fraction form
   19,823.91/42,742.55 = 42,742.55/x
3. Step 3: Cross multiply
   19,823.91x = 42,742.55 × 42,742.55
4. Step 4: Simplify right side
   19,823.91x = 1,826,925,313.36
5. Step 5: Solve for x
   x = 1,826,925,313.36/19,823.91
6. Step 6: Final answer
   x = 92,157.69