Finding the Third Proportional to 25,085 and 59,213

Step by Step Solution

1. Step 1: Write the proportion equation
   25,085 : 59,213 = 59,213 : x
2. Step 2: Convert to fraction form
   25,085/59,213 = 59,213/x
3. Step 3: Cross multiply
   25,085x = 59,213 × 59,213
4. Step 4: Simplify right side
   25,085x = 3,506,179,369
5. Step 5: Solve for x
   x = 3,506,179,369/25,085
6. Step 6: Final answer
   x = 139,771.95