Finding the Third Proportional to 42,209 and 64,385

Step by Step Solution

1. Step 1: Write the proportion equation
   42,209 : 64,385 = 64,385 : x
2. Step 2: Convert to fraction form
   42,209/64,385 = 64,385/x
3. Step 3: Cross multiply
   42,209x = 64,385 × 64,385
4. Step 4: Simplify right side
   42,209x = 4,145,428,225
5. Step 5: Solve for x
   x = 4,145,428,225/42,209
6. Step 6: Final answer
   x = 98,211.95