Finding the Third Proportional to 40,970 and 58,503

Step by Step Solution

1. Step 1: Write the proportion equation
   40,970 : 58,503 = 58,503 : x
2. Step 2: Convert to fraction form
   40,970/58,503 = 58,503/x
3. Step 3: Cross multiply
   40,970x = 58,503 × 58,503
4. Step 4: Simplify right side
   40,970x = 3,422,601,009
5. Step 5: Solve for x
   x = 3,422,601,009/40,970
6. Step 6: Final answer
   x = 83,539.20