Finding the Third Proportional to 42,583.50 and 65,895.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,583.50 : 65,895.75 = 65,895.75 : x
2. Step 2: Convert to fraction form
   42,583.50/65,895.75 = 65,895.75/x
3. Step 3: Cross multiply
   42,583.50x = 65,895.75 × 65,895.75
4. Step 4: Simplify right side
   42,583.50x = 4,342,249,868.06
5. Step 5: Solve for x
   x = 4,342,249,868.06/42,583.50
6. Step 6: Final answer
   x = 101,970.24