Finding the Third Proportional to 31,166 and 42,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,166 : 42,579.50 = 42,579.50 : x
2. Step 2: Convert to fraction form
   31,166/42,579.50 = 42,579.50/x
3. Step 3: Cross multiply
   31,166x = 42,579.50 × 42,579.50
4. Step 4: Simplify right side
   31,166x = 1,813,013,820.25
5. Step 5: Solve for x
   x = 1,813,013,820.25/31,166
6. Step 6: Final answer
   x = 58,172.81