Finding the Third Proportional to 31,468.50 and 47,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,468.50 : 47,659.50 = 47,659.50 : x
2. Step 2: Convert to fraction form
   31,468.50/47,659.50 = 47,659.50/x
3. Step 3: Cross multiply
   31,468.50x = 47,659.50 × 47,659.50
4. Step 4: Simplify right side
   31,468.50x = 2,271,427,940.25
5. Step 5: Solve for x
   x = 2,271,427,940.25/31,468.50
6. Step 6: Final answer
   x = 72,181.00