Finding the Third Proportional to 35,407.50 and 77,059

Step by Step Solution

1. Step 1: Write the proportion equation
   35,407.50 : 77,059 = 77,059 : x
2. Step 2: Convert to fraction form
   35,407.50/77,059 = 77,059/x
3. Step 3: Cross multiply
   35,407.50x = 77,059 × 77,059
4. Step 4: Simplify right side
   35,407.50x = 5,938,089,481
5. Step 5: Solve for x
   x = 5,938,089,481/35,407.50
6. Step 6: Final answer
   x = 167,707.11