Finding the Third Proportional to 25,125 and 37,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,125 : 37,690.50 = 37,690.50 : x
2. Step 2: Convert to fraction form
   25,125/37,690.50 = 37,690.50/x
3. Step 3: Cross multiply
   25,125x = 37,690.50 × 37,690.50
4. Step 4: Simplify right side
   25,125x = 1,420,573,790.25
5. Step 5: Solve for x
   x = 1,420,573,790.25/25,125
6. Step 6: Final answer
   x = 56,540.25