Finding the Third Proportional to 77,511.75 and 109,710

Step by Step Solution

1. Step 1: Write the proportion equation
   77,511.75 : 109,710 = 109,710 : x
2. Step 2: Convert to fraction form
   77,511.75/109,710 = 109,710/x
3. Step 3: Cross multiply
   77,511.75x = 109,710 × 109,710
4. Step 4: Simplify right side
   77,511.75x = 12,036,284,100
5. Step 5: Solve for x
   x = 12,036,284,100/77,511.75
6. Step 6: Final answer
   x = 155,283.35