Finding the Third Proportional to 10,188 and 19,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 19,444.50 = 19,444.50 : x
2. Step 2: Convert to fraction form
   10,188/19,444.50 = 19,444.50/x
3. Step 3: Cross multiply
   10,188x = 19,444.50 × 19,444.50
4. Step 4: Simplify right side
   10,188x = 378,088,580.25
5. Step 5: Solve for x
   x = 378,088,580.25/10,188
6. Step 6: Final answer
   x = 37,111.17