Finding the Third Proportional to 31,007 and 42,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,007 : 42,460.50 = 42,460.50 : x
2. Step 2: Convert to fraction form
   31,007/42,460.50 = 42,460.50/x
3. Step 3: Cross multiply
   31,007x = 42,460.50 × 42,460.50
4. Step 4: Simplify right side
   31,007x = 1,802,894,060.25
5. Step 5: Solve for x
   x = 1,802,894,060.25/31,007
6. Step 6: Final answer
   x = 58,144.74