Finding the Third Proportional to 31,123 and 40,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,123 : 40,852.50 = 40,852.50 : x
2. Step 2: Convert to fraction form
   31,123/40,852.50 = 40,852.50/x
3. Step 3: Cross multiply
   31,123x = 40,852.50 × 40,852.50
4. Step 4: Simplify right side
   31,123x = 1,668,926,756.25
5. Step 5: Solve for x
   x = 1,668,926,756.25/31,123
6. Step 6: Final answer
   x = 53,623.58