Finding the Third Proportional to 42,370 and 64,695

Step by Step Solution

1. Step 1: Write the proportion equation
   42,370 : 64,695 = 64,695 : x
2. Step 2: Convert to fraction form
   42,370/64,695 = 64,695/x
3. Step 3: Cross multiply
   42,370x = 64,695 × 64,695
4. Step 4: Simplify right side
   42,370x = 4,185,443,025
5. Step 5: Solve for x
   x = 4,185,443,025/42,370
6. Step 6: Final answer
   x = 98,783.17