Finding the Third Proportional to 22,761 and 34,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,761 : 34,492.50 = 34,492.50 : x
2. Step 2: Convert to fraction form
   22,761/34,492.50 = 34,492.50/x
3. Step 3: Cross multiply
   22,761x = 34,492.50 × 34,492.50
4. Step 4: Simplify right side
   22,761x = 1,189,732,556.25
5. Step 5: Solve for x
   x = 1,189,732,556.25/22,761
6. Step 6: Final answer
   x = 52,270.66