Finding the Third Proportional to 77,093.25 and 88,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,093.25 : 88,165.50 = 88,165.50 : x
2. Step 2: Convert to fraction form
   77,093.25/88,165.50 = 88,165.50/x
3. Step 3: Cross multiply
   77,093.25x = 88,165.50 × 88,165.50
4. Step 4: Simplify right side
   77,093.25x = 7,773,155,390.25
5. Step 5: Solve for x
   x = 7,773,155,390.25/77,093.25
6. Step 6: Final answer
   x = 100,827.96