Finding the Third Proportional to 25,686.50 and 37,641

Step by Step Solution

1. Step 1: Write the proportion equation
   25,686.50 : 37,641 = 37,641 : x
2. Step 2: Convert to fraction form
   25,686.50/37,641 = 37,641/x
3. Step 3: Cross multiply
   25,686.50x = 37,641 × 37,641
4. Step 4: Simplify right side
   25,686.50x = 1,416,844,881
5. Step 5: Solve for x
   x = 1,416,844,881/25,686.50
6. Step 6: Final answer
   x = 55,159.13