Finding the Third Proportional to 25,582.50 and 52,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,582.50 : 52,432.50 = 52,432.50 : x
2. Step 2: Convert to fraction form
   25,582.50/52,432.50 = 52,432.50/x
3. Step 3: Cross multiply
   25,582.50x = 52,432.50 × 52,432.50
4. Step 4: Simplify right side
   25,582.50x = 2,749,167,056.25
5. Step 5: Solve for x
   x = 2,749,167,056.25/25,582.50
6. Step 6: Final answer
   x = 107,462.80