Finding the Third Proportional to 25,672 and 38,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,672 : 38,131.50 = 38,131.50 : x
2. Step 2: Convert to fraction form
   25,672/38,131.50 = 38,131.50/x
3. Step 3: Cross multiply
   25,672x = 38,131.50 × 38,131.50
4. Step 4: Simplify right side
   25,672x = 1,454,011,292.25
5. Step 5: Solve for x
   x = 1,454,011,292.25/25,672
6. Step 6: Final answer
   x = 56,638.02