Finding the Third Proportional to 31,522 and 47,938

Step by Step Solution

1. Step 1: Write the proportion equation
   31,522 : 47,938 = 47,938 : x
2. Step 2: Convert to fraction form
   31,522/47,938 = 47,938/x
3. Step 3: Cross multiply
   31,522x = 47,938 × 47,938
4. Step 4: Simplify right side
   31,522x = 2,298,051,844
5. Step 5: Solve for x
   x = 2,298,051,844/31,522
6. Step 6: Final answer
   x = 72,903.11