Finding the Third Proportional to 31,200 and 42,032

Step by Step Solution

1. Step 1: Write the proportion equation
   31,200 : 42,032 = 42,032 : x
2. Step 2: Convert to fraction form
   31,200/42,032 = 42,032/x
3. Step 3: Cross multiply
   31,200x = 42,032 × 42,032
4. Step 4: Simplify right side
   31,200x = 1,766,689,024
5. Step 5: Solve for x
   x = 1,766,689,024/31,200
6. Step 6: Final answer
   x = 56,624.65