Finding the Third Proportional to 31,455 and 47,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,455 : 47,587.50 = 47,587.50 : x
2. Step 2: Convert to fraction form
   31,455/47,587.50 = 47,587.50/x
3. Step 3: Cross multiply
   31,455x = 47,587.50 × 47,587.50
4. Step 4: Simplify right side
   31,455x = 2,264,570,156.25
5. Step 5: Solve for x
   x = 2,264,570,156.25/31,455
6. Step 6: Final answer
   x = 71,993.96