Finding the Third Proportional to 35,520 and 77,300

Step by Step Solution

1. Step 1: Write the proportion equation
   35,520 : 77,300 = 77,300 : x
2. Step 2: Convert to fraction form
   35,520/77,300 = 77,300/x
3. Step 3: Cross multiply
   35,520x = 77,300 × 77,300
4. Step 4: Simplify right side
   35,520x = 5,975,290,000
5. Step 5: Solve for x
   x = 5,975,290,000/35,520
6. Step 6: Final answer
   x = 168,223.25