Finding the Third Proportional to 24,561 and 37,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,561 : 37,773.50 = 37,773.50 : x
2. Step 2: Convert to fraction form
   24,561/37,773.50 = 37,773.50/x
3. Step 3: Cross multiply
   24,561x = 37,773.50 × 37,773.50
4. Step 4: Simplify right side
   24,561x = 1,426,837,302.25
5. Step 5: Solve for x
   x = 1,426,837,302.25/24,561
6. Step 6: Final answer
   x = 58,093.62