Finding the Third Proportional to 25,410 and 37,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,410 : 37,192.50 = 37,192.50 : x
2. Step 2: Convert to fraction form
   25,410/37,192.50 = 37,192.50/x
3. Step 3: Cross multiply
   25,410x = 37,192.50 × 37,192.50
4. Step 4: Simplify right side
   25,410x = 1,383,282,056.25
5. Step 5: Solve for x
   x = 1,383,282,056.25/25,410
6. Step 6: Final answer
   x = 54,438.49