Finding the Third Proportional to 13,400 and 32,300

Step by Step Solution

1. Step 1: Write the proportion equation
   13,400 : 32,300 = 32,300 : x
2. Step 2: Convert to fraction form
   13,400/32,300 = 32,300/x
3. Step 3: Cross multiply
   13,400x = 32,300 × 32,300
4. Step 4: Simplify right side
   13,400x = 1,043,290,000
5. Step 5: Solve for x
   x = 1,043,290,000/13,400
6. Step 6: Final answer
   x = 77,857.46