Finding the Third Proportional to 25,189 and 37,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,189 : 37,787.50 = 37,787.50 : x
2. Step 2: Convert to fraction form
   25,189/37,787.50 = 37,787.50/x
3. Step 3: Cross multiply
   25,189x = 37,787.50 × 37,787.50
4. Step 4: Simplify right side
   25,189x = 1,427,895,156.25
5. Step 5: Solve for x
   x = 1,427,895,156.25/25,189
6. Step 6: Final answer
   x = 56,687.25