Finding the Third Proportional to 77,733.75 and 105,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,733.75 : 105,016.50 = 105,016.50 : x
2. Step 2: Convert to fraction form
   77,733.75/105,016.50 = 105,016.50/x
3. Step 3: Cross multiply
   77,733.75x = 105,016.50 × 105,016.50
4. Step 4: Simplify right side
   77,733.75x = 11,028,465,272.25
5. Step 5: Solve for x
   x = 11,028,465,272.25/77,733.75
6. Step 6: Final answer
   x = 141,874.86