Finding the Third Proportional to 31,148 and 47,632

Step by Step Solution

1. Step 1: Write the proportion equation
   31,148 : 47,632 = 47,632 : x
2. Step 2: Convert to fraction form
   31,148/47,632 = 47,632/x
3. Step 3: Cross multiply
   31,148x = 47,632 × 47,632
4. Step 4: Simplify right side
   31,148x = 2,268,807,424
5. Step 5: Solve for x
   x = 2,268,807,424/31,148
6. Step 6: Final answer
   x = 72,839.59