Finding the Third Proportional to 31,527 and 47,946

Step by Step Solution

1. Step 1: Write the proportion equation
   31,527 : 47,946 = 47,946 : x
2. Step 2: Convert to fraction form
   31,527/47,946 = 47,946/x
3. Step 3: Cross multiply
   31,527x = 47,946 × 47,946
4. Step 4: Simplify right side
   31,527x = 2,298,818,916
5. Step 5: Solve for x
   x = 2,298,818,916/31,527
6. Step 6: Final answer
   x = 72,915.88