Finding the Third Proportional to 31,153.75 and 42,242.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,153.75 : 42,242.75 = 42,242.75 : x
2. Step 2: Convert to fraction form
   31,153.75/42,242.75 = 42,242.75/x
3. Step 3: Cross multiply
   31,153.75x = 42,242.75 × 42,242.75
4. Step 4: Simplify right side
   31,153.75x = 1,784,449,927.56
5. Step 5: Solve for x
   x = 1,784,449,927.56/31,153.75
6. Step 6: Final answer
   x = 57,278.82