Finding the Third Proportional to 13,864.29 and 22,526.86

Step by Step Solution

1. Step 1: Write the proportion equation
   13,864.29 : 22,526.86 = 22,526.86 : x
2. Step 2: Convert to fraction form
   13,864.29/22,526.86 = 22,526.86/x
3. Step 3: Cross multiply
   13,864.29x = 22,526.86 × 22,526.86
4. Step 4: Simplify right side
   13,864.29x = 507,459,393.30
5. Step 5: Solve for x
   x = 507,459,393.30/13,864.29
6. Step 6: Final answer
   x = 36,601.91