Finding the Third Proportional to 20,460 and 31,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,460 : 31,594.50 = 31,594.50 : x
2. Step 2: Convert to fraction form
   20,460/31,594.50 = 31,594.50/x
3. Step 3: Cross multiply
   20,460x = 31,594.50 × 31,594.50
4. Step 4: Simplify right side
   20,460x = 998,212,430.25
5. Step 5: Solve for x
   x = 998,212,430.25/20,460
6. Step 6: Final answer
   x = 48,788.49