Finding the Third Proportional to 31,548 and 38,124

Step by Step Solution

1. Step 1: Write the proportion equation
   31,548 : 38,124 = 38,124 : x
2. Step 2: Convert to fraction form
   31,548/38,124 = 38,124/x
3. Step 3: Cross multiply
   31,548x = 38,124 × 38,124
4. Step 4: Simplify right side
   31,548x = 1,453,439,376
5. Step 5: Solve for x
   x = 1,453,439,376/31,548
6. Step 6: Final answer
   x = 46,070.73