Finding the Third Proportional to 31,398 and 47,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,398 : 47,095.50 = 47,095.50 : x
2. Step 2: Convert to fraction form
   31,398/47,095.50 = 47,095.50/x
3. Step 3: Cross multiply
   31,398x = 47,095.50 × 47,095.50
4. Step 4: Simplify right side
   31,398x = 2,217,986,120.25
5. Step 5: Solve for x
   x = 2,217,986,120.25/31,398
6. Step 6: Final answer
   x = 70,641.00