Finding the Third Proportional to 35,946.50 and 78,102.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,946.50 : 78,102.88 = 78,102.88 : x
2. Step 2: Convert to fraction form
   35,946.50/78,102.88 = 78,102.88/x
3. Step 3: Cross multiply
   35,946.50x = 78,102.88 × 78,102.88
4. Step 4: Simplify right side
   35,946.50x = 6,100,059,083.27
5. Step 5: Solve for x
   x = 6,100,059,083.27/35,946.50
6. Step 6: Final answer
   x = 169,698.28