Finding the Third Proportional to 35,730 and 78,370

Step by Step Solution

1. Step 1: Write the proportion equation
   35,730 : 78,370 = 78,370 : x
2. Step 2: Convert to fraction form
   35,730/78,370 = 78,370/x
3. Step 3: Cross multiply
   35,730x = 78,370 × 78,370
4. Step 4: Simplify right side
   35,730x = 6,141,856,900
5. Step 5: Solve for x
   x = 6,141,856,900/35,730
6. Step 6: Final answer
   x = 171,896.36