Finding the Third Proportional to 25,128 and 37,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,128 : 37,411.50 = 37,411.50 : x
2. Step 2: Convert to fraction form
   25,128/37,411.50 = 37,411.50/x
3. Step 3: Cross multiply
   25,128x = 37,411.50 × 37,411.50
4. Step 4: Simplify right side
   25,128x = 1,399,620,332.25
5. Step 5: Solve for x
   x = 1,399,620,332.25/25,128
6. Step 6: Final answer
   x = 55,699.63