Finding the Third Proportional to 42,912.75 and 65,645.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42,912.75 : 65,645.63 = 65,645.63 : x
2. Step 2: Convert to fraction form
   42,912.75/65,645.63 = 65,645.63/x
3. Step 3: Cross multiply
   42,912.75x = 65,645.63 × 65,645.63
4. Step 4: Simplify right side
   42,912.75x = 4,309,348,081.64
5. Step 5: Solve for x
   x = 4,309,348,081.64/42,912.75
6. Step 6: Final answer
   x = 100,421.16