Finding the Third Proportional to 25,507 and 46,820

Step by Step Solution

1. Step 1: Write the proportion equation
   25,507 : 46,820 = 46,820 : x
2. Step 2: Convert to fraction form
   25,507/46,820 = 46,820/x
3. Step 3: Cross multiply
   25,507x = 46,820 × 46,820
4. Step 4: Simplify right side
   25,507x = 2,192,112,400
5. Step 5: Solve for x
   x = 2,192,112,400/25,507
6. Step 6: Final answer
   x = 85,941.60