Finding the Third Proportional to 35,781.75 and 77,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,781.75 : 77,710.50 = 77,710.50 : x
2. Step 2: Convert to fraction form
   35,781.75/77,710.50 = 77,710.50/x
3. Step 3: Cross multiply
   35,781.75x = 77,710.50 × 77,710.50
4. Step 4: Simplify right side
   35,781.75x = 6,038,921,810.25
5. Step 5: Solve for x
   x = 6,038,921,810.25/35,781.75
6. Step 6: Final answer
   x = 168,771.00