Finding the Third Proportional to 24,522 and 37,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,522 : 37,572.50 = 37,572.50 : x
2. Step 2: Convert to fraction form
   24,522/37,572.50 = 37,572.50/x
3. Step 3: Cross multiply
   24,522x = 37,572.50 × 37,572.50
4. Step 4: Simplify right side
   24,522x = 1,411,692,756.25
5. Step 5: Solve for x
   x = 1,411,692,756.25/24,522
6. Step 6: Final answer
   x = 57,568.42