Finding the Third Proportional to 31,278.38 and 45,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,278.38 : 45,823.50 = 45,823.50 : x
2. Step 2: Convert to fraction form
   31,278.38/45,823.50 = 45,823.50/x
3. Step 3: Cross multiply
   31,278.38x = 45,823.50 × 45,823.50
4. Step 4: Simplify right side
   31,278.38x = 2,099,793,152.25
5. Step 5: Solve for x
   x = 2,099,793,152.25/31,278.38
6. Step 6: Final answer
   x = 67,132.42