Finding the Third Proportional to 31,803 and 47,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,803 : 47,707.50 = 47,707.50 : x
2. Step 2: Convert to fraction form
   31,803/47,707.50 = 47,707.50/x
3. Step 3: Cross multiply
   31,803x = 47,707.50 × 47,707.50
4. Step 4: Simplify right side
   31,803x = 2,276,005,556.25
5. Step 5: Solve for x
   x = 2,276,005,556.25/31,803
6. Step 6: Final answer
   x = 71,565.75