Finding the Third Proportional to 35,777.25 and 77,704.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,777.25 : 77,704.88 = 77,704.88 : x
2. Step 2: Convert to fraction form
   35,777.25/77,704.88 = 77,704.88/x
3. Step 3: Cross multiply
   35,777.25x = 77,704.88 × 77,704.88
4. Step 4: Simplify right side
   35,777.25x = 6,038,047,598.77
5. Step 5: Solve for x
   x = 6,038,047,598.77/35,777.25
6. Step 6: Final answer
   x = 168,767.80