Finding the Third Proportional to 35,741.25 and 77,707.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,741.25 : 77,707.69 = 77,707.69 : x
2. Step 2: Convert to fraction form
   35,741.25/77,707.69 = 77,707.69/x
3. Step 3: Cross multiply
   35,741.25x = 77,707.69 × 77,707.69
4. Step 4: Simplify right side
   35,741.25x = 6,038,484,696.60
5. Step 5: Solve for x
   x = 6,038,484,696.60/35,741.25
6. Step 6: Final answer
   x = 168,950.01