Finding the Third Proportional to 35,599.50 and 77,577.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,599.50 : 77,577.75 = 77,577.75 : x
2. Step 2: Convert to fraction form
   35,599.50/77,577.75 = 77,577.75/x
3. Step 3: Cross multiply
   35,599.50x = 77,577.75 × 77,577.75
4. Step 4: Simplify right side
   35,599.50x = 6,018,307,295.06
5. Step 5: Solve for x
   x = 6,018,307,295.06/35,599.50
6. Step 6: Final answer
   x = 169,055.95