Finding the Third Proportional to 31,023 and 40,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,023 : 40,432.50 = 40,432.50 : x
2. Step 2: Convert to fraction form
   31,023/40,432.50 = 40,432.50/x
3. Step 3: Cross multiply
   31,023x = 40,432.50 × 40,432.50
4. Step 4: Simplify right side
   31,023x = 1,634,787,056.25
5. Step 5: Solve for x
   x = 1,634,787,056.25/31,023
6. Step 6: Final answer
   x = 52,695.97