Finding the Third Proportional to 31,506 and 47,916

Step by Step Solution

1. Step 1: Write the proportion equation
   31,506 : 47,916 = 47,916 : x
2. Step 2: Convert to fraction form
   31,506/47,916 = 47,916/x
3. Step 3: Cross multiply
   31,506x = 47,916 × 47,916
4. Step 4: Simplify right side
   31,506x = 2,295,943,056
5. Step 5: Solve for x
   x = 2,295,943,056/31,506
6. Step 6: Final answer
   x = 72,873.20