Finding the Third Proportional to 24,329 and 37,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,329 : 37,567.50 = 37,567.50 : x
2. Step 2: Convert to fraction form
   24,329/37,567.50 = 37,567.50/x
3. Step 3: Cross multiply
   24,329x = 37,567.50 × 37,567.50
4. Step 4: Simplify right side
   24,329x = 1,411,317,056.25
5. Step 5: Solve for x
   x = 1,411,317,056.25/24,329
6. Step 6: Final answer
   x = 58,009.66