Finding the Third Proportional to 35,773.59 and 77,693.06

Step by Step Solution

1. Step 1: Write the proportion equation
   35,773.59 : 77,693.06 = 77,693.06 : x
2. Step 2: Convert to fraction form
   35,773.59/77,693.06 = 77,693.06/x
3. Step 3: Cross multiply
   35,773.59x = 77,693.06 × 77,693.06
4. Step 4: Simplify right side
   35,773.59x = 6,036,211,960.63
5. Step 5: Solve for x
   x = 6,036,211,960.63/35,773.59
6. Step 6: Final answer
   x = 168,733.73