Finding the Third Proportional to 42,505 and 65,585

Step by Step Solution

1. Step 1: Write the proportion equation
   42,505 : 65,585 = 65,585 : x
2. Step 2: Convert to fraction form
   42,505/65,585 = 65,585/x
3. Step 3: Cross multiply
   42,505x = 65,585 × 65,585
4. Step 4: Simplify right side
   42,505x = 4,301,392,225
5. Step 5: Solve for x
   x = 4,301,392,225/42,505
6. Step 6: Final answer
   x = 101,197.32