Finding the Third Proportional to 42,130 and 61,466

Step by Step Solution

1. Step 1: Write the proportion equation
   42,130 : 61,466 = 61,466 : x
2. Step 2: Convert to fraction form
   42,130/61,466 = 61,466/x
3. Step 3: Cross multiply
   42,130x = 61,466 × 61,466
4. Step 4: Simplify right side
   42,130x = 3,778,069,156
5. Step 5: Solve for x
   x = 3,778,069,156/42,130
6. Step 6: Final answer
   x = 89,676.46