Finding the Third Proportional to 34,787.25 and 75,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,787.25 : 75,784.50 = 75,784.50 : x
2. Step 2: Convert to fraction form
   34,787.25/75,784.50 = 75,784.50/x
3. Step 3: Cross multiply
   34,787.25x = 75,784.50 × 75,784.50
4. Step 4: Simplify right side
   34,787.25x = 5,743,290,440.25
5. Step 5: Solve for x
   x = 5,743,290,440.25/34,787.25
6. Step 6: Final answer
   x = 165,097.57