Finding the Third Proportional to 42,702 and 65,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,702 : 65,085.75 = 65,085.75 : x
2. Step 2: Convert to fraction form
   42,702/65,085.75 = 65,085.75/x
3. Step 3: Cross multiply
   42,702x = 65,085.75 × 65,085.75
4. Step 4: Simplify right side
   42,702x = 4,236,154,853.06
5. Step 5: Solve for x
   x = 4,236,154,853.06/42,702
6. Step 6: Final answer
   x = 99,202.73