Finding the Third Proportional to 42,912.50 and 65,645.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,912.50 : 65,645.75 = 65,645.75 : x
2. Step 2: Convert to fraction form
   42,912.50/65,645.75 = 65,645.75/x
3. Step 3: Cross multiply
   42,912.50x = 65,645.75 × 65,645.75
4. Step 4: Simplify right side
   42,912.50x = 4,309,364,493.06
5. Step 5: Solve for x
   x = 4,309,364,493.06/42,912.50
6. Step 6: Final answer
   x = 100,422.13