Finding the Third Proportional to 31,411.50 and 47,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,411.50 : 47,977.50 = 47,977.50 : x
2. Step 2: Convert to fraction form
   31,411.50/47,977.50 = 47,977.50/x
3. Step 3: Cross multiply
   31,411.50x = 47,977.50 × 47,977.50
4. Step 4: Simplify right side
   31,411.50x = 2,301,840,506.25
5. Step 5: Solve for x
   x = 2,301,840,506.25/31,411.50
6. Step 6: Final answer
   x = 73,280.18