Finding the Third Proportional to 35,300.50 and 77,597.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,300.50 : 77,597.63 = 77,597.63 : x
2. Step 2: Convert to fraction form
   35,300.50/77,597.63 = 77,597.63/x
3. Step 3: Cross multiply
   35,300.50x = 77,597.63 × 77,597.63
4. Step 4: Simplify right side
   35,300.50x = 6,021,391,405.64
5. Step 5: Solve for x
   x = 6,021,391,405.64/35,300.50
6. Step 6: Final answer
   x = 170,575.24