Finding the Third Proportional to 35,419.50 and 77,070

Step by Step Solution

1. Step 1: Write the proportion equation
   35,419.50 : 77,070 = 77,070 : x
2. Step 2: Convert to fraction form
   35,419.50/77,070 = 77,070/x
3. Step 3: Cross multiply
   35,419.50x = 77,070 × 77,070
4. Step 4: Simplify right side
   35,419.50x = 5,939,784,900
5. Step 5: Solve for x
   x = 5,939,784,900/35,419.50
6. Step 6: Final answer
   x = 167,698.16