Finding the Third Proportional to 27,385 and 42,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,385 : 42,238.50 = 42,238.50 : x
2. Step 2: Convert to fraction form
   27,385/42,238.50 = 42,238.50/x
3. Step 3: Cross multiply
   27,385x = 42,238.50 × 42,238.50
4. Step 4: Simplify right side
   27,385x = 1,784,090,882.25
5. Step 5: Solve for x
   x = 1,784,090,882.25/27,385
6. Step 6: Final answer
   x = 65,148.47