Finding the Third Proportional to 35,730 and 78,510

Step by Step Solution

1. Step 1: Write the proportion equation
   35,730 : 78,510 = 78,510 : x
2. Step 2: Convert to fraction form
   35,730/78,510 = 78,510/x
3. Step 3: Cross multiply
   35,730x = 78,510 × 78,510
4. Step 4: Simplify right side
   35,730x = 6,163,820,100
5. Step 5: Solve for x
   x = 6,163,820,100/35,730
6. Step 6: Final answer
   x = 172,511.06