Finding the Third Proportional to 35,868.66 and 78,555.23

Step by Step Solution

1. Step 1: Write the proportion equation
   35,868.66 : 78,555.23 = 78,555.23 : x
2. Step 2: Convert to fraction form
   35,868.66/78,555.23 = 78,555.23/x
3. Step 3: Cross multiply
   35,868.66x = 78,555.23 × 78,555.23
4. Step 4: Simplify right side
   35,868.66x = 6,170,924,847.71
5. Step 5: Solve for x
   x = 6,170,924,847.71/35,868.66
6. Step 6: Final answer
   x = 172,042.26