Finding the Third Proportional to 13,400 and 31,808

Step by Step Solution

1. Step 1: Write the proportion equation
   13,400 : 31,808 = 31,808 : x
2. Step 2: Convert to fraction form
   13,400/31,808 = 31,808/x
3. Step 3: Cross multiply
   13,400x = 31,808 × 31,808
4. Step 4: Simplify right side
   13,400x = 1,011,748,864
5. Step 5: Solve for x
   x = 1,011,748,864/13,400
6. Step 6: Final answer
   x = 75,503.65