Finding the Third Proportional to 35,777.95 and 78,706.37

Step by Step Solution

1. Step 1: Write the proportion equation
   35,777.95 : 78,706.37 = 78,706.37 : x
2. Step 2: Convert to fraction form
   35,777.95/78,706.37 = 78,706.37/x
3. Step 3: Cross multiply
   35,777.95x = 78,706.37 × 78,706.37
4. Step 4: Simplify right side
   35,777.95x = 6,194,692,850.75
5. Step 5: Solve for x
   x = 6,194,692,850.75/35,777.95
6. Step 6: Final answer
   x = 173,142.74