Finding the Third Proportional to 13,835 and 30,478

Step by Step Solution

1. Step 1: Write the proportion equation
   13,835 : 30,478 = 30,478 : x
2. Step 2: Convert to fraction form
   13,835/30,478 = 30,478/x
3. Step 3: Cross multiply
   13,835x = 30,478 × 30,478
4. Step 4: Simplify right side
   13,835x = 928,908,484
5. Step 5: Solve for x
   x = 928,908,484/13,835
6. Step 6: Final answer
   x = 67,141.92