Finding the Third Proportional to 42,148 and 61,665

Step by Step Solution

1. Step 1: Write the proportion equation
   42,148 : 61,665 = 61,665 : x
2. Step 2: Convert to fraction form
   42,148/61,665 = 61,665/x
3. Step 3: Cross multiply
   42,148x = 61,665 × 61,665
4. Step 4: Simplify right side
   42,148x = 3,802,572,225
5. Step 5: Solve for x
   x = 3,802,572,225/42,148
6. Step 6: Final answer
   x = 90,219.52