Finding the Third Proportional to 35,407.50 and 77,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,407.50 : 77,254.50 = 77,254.50 : x
2. Step 2: Convert to fraction form
   35,407.50/77,254.50 = 77,254.50/x
3. Step 3: Cross multiply
   35,407.50x = 77,254.50 × 77,254.50
4. Step 4: Simplify right side
   35,407.50x = 5,968,257,770.25
5. Step 5: Solve for x
   x = 5,968,257,770.25/35,407.50
6. Step 6: Final answer
   x = 168,559.14