Finding the Third Proportional to 35,354.25 and 77,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,354.25 : 77,062.50 = 77,062.50 : x
2. Step 2: Convert to fraction form
   35,354.25/77,062.50 = 77,062.50/x
3. Step 3: Cross multiply
   35,354.25x = 77,062.50 × 77,062.50
4. Step 4: Simplify right side
   35,354.25x = 5,938,628,906.25
5. Step 5: Solve for x
   x = 5,938,628,906.25/35,354.25
6. Step 6: Final answer
   x = 167,974.96