Finding the Third Proportional to 42,288 and 91,953

Step by Step Solution

1. Step 1: Write the proportion equation
   42,288 : 91,953 = 91,953 : x
2. Step 2: Convert to fraction form
   42,288/91,953 = 91,953/x
3. Step 3: Cross multiply
   42,288x = 91,953 × 91,953
4. Step 4: Simplify right side
   42,288x = 8,455,354,209
5. Step 5: Solve for x
   x = 8,455,354,209/42,288
6. Step 6: Final answer
   x = 199,946.89