Finding the Third Proportional to 31,465 and 49,111

Step by Step Solution

1. Step 1: Write the proportion equation
   31,465 : 49,111 = 49,111 : x
2. Step 2: Convert to fraction form
   31,465/49,111 = 49,111/x
3. Step 3: Cross multiply
   31,465x = 49,111 × 49,111
4. Step 4: Simplify right side
   31,465x = 2,411,890,321
5. Step 5: Solve for x
   x = 2,411,890,321/31,465
6. Step 6: Final answer
   x = 76,653.12