Finding the Third Proportional to 42,870.75 and 92,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,870.75 : 92,896.50 = 92,896.50 : x
2. Step 2: Convert to fraction form
   42,870.75/92,896.50 = 92,896.50/x
3. Step 3: Cross multiply
   42,870.75x = 92,896.50 × 92,896.50
4. Step 4: Simplify right side
   42,870.75x = 8,629,759,712.25
5. Step 5: Solve for x
   x = 8,629,759,712.25/42,870.75
6. Step 6: Final answer
   x = 201,297.15