Finding the Third Proportional to 31,776 and 47,123

Step by Step Solution

1. Step 1: Write the proportion equation
   31,776 : 47,123 = 47,123 : x
2. Step 2: Convert to fraction form
   31,776/47,123 = 47,123/x
3. Step 3: Cross multiply
   31,776x = 47,123 × 47,123
4. Step 4: Simplify right side
   31,776x = 2,220,577,129
5. Step 5: Solve for x
   x = 2,220,577,129/31,776
6. Step 6: Final answer
   x = 69,882.21