Finding the Third Proportional to 42,210 and 61,146

Step by Step Solution

1. Step 1: Write the proportion equation
   42,210 : 61,146 = 61,146 : x
2. Step 2: Convert to fraction form
   42,210/61,146 = 61,146/x
3. Step 3: Cross multiply
   42,210x = 61,146 × 61,146
4. Step 4: Simplify right side
   42,210x = 3,738,833,316
5. Step 5: Solve for x
   x = 3,738,833,316/42,210
6. Step 6: Final answer
   x = 88,576.96