Finding the Third Proportional to 35,849.25 and 77,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,849.25 : 77,917.50 = 77,917.50 : x
2. Step 2: Convert to fraction form
   35,849.25/77,917.50 = 77,917.50/x
3. Step 3: Cross multiply
   35,849.25x = 77,917.50 × 77,917.50
4. Step 4: Simplify right side
   35,849.25x = 6,071,136,806.25
5. Step 5: Solve for x
   x = 6,071,136,806.25/35,849.25
6. Step 6: Final answer
   x = 169,351.85