Finding the Third Proportional to 42,140 and 61,653

Step by Step Solution

1. Step 1: Write the proportion equation
   42,140 : 61,653 = 61,653 : x
2. Step 2: Convert to fraction form
   42,140/61,653 = 61,653/x
3. Step 3: Cross multiply
   42,140x = 61,653 × 61,653
4. Step 4: Simplify right side
   42,140x = 3,801,092,409
5. Step 5: Solve for x
   x = 3,801,092,409/42,140
6. Step 6: Final answer
   x = 90,201.53