Finding the Third Proportional to 31,503 and 47,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,503 : 47,914.50 = 47,914.50 : x
2. Step 2: Convert to fraction form
   31,503/47,914.50 = 47,914.50/x
3. Step 3: Cross multiply
   31,503x = 47,914.50 × 47,914.50
4. Step 4: Simplify right side
   31,503x = 2,295,799,310.25
5. Step 5: Solve for x
   x = 2,295,799,310.25/31,503
6. Step 6: Final answer
   x = 72,875.58