Finding the Third Proportional to 22,506 and 37,215

Step by Step Solution

1. Step 1: Write the proportion equation
   22,506 : 37,215 = 37,215 : x
2. Step 2: Convert to fraction form
   22,506/37,215 = 37,215/x
3. Step 3: Cross multiply
   22,506x = 37,215 × 37,215
4. Step 4: Simplify right side
   22,506x = 1,384,956,225
5. Step 5: Solve for x
   x = 1,384,956,225/22,506
6. Step 6: Final answer
   x = 61,537.20