Finding the Third Proportional to 31,314 and 48,429

Step by Step Solution

1. Step 1: Write the proportion equation
   31,314 : 48,429 = 48,429 : x
2. Step 2: Convert to fraction form
   31,314/48,429 = 48,429/x
3. Step 3: Cross multiply
   31,314x = 48,429 × 48,429
4. Step 4: Simplify right side
   31,314x = 2,345,368,041
5. Step 5: Solve for x
   x = 2,345,368,041/31,314
6. Step 6: Final answer
   x = 74,898.39