Finding the Third Proportional to 42,583 and 61,106

Step by Step Solution

1. Step 1: Write the proportion equation
   42,583 : 61,106 = 61,106 : x
2. Step 2: Convert to fraction form
   42,583/61,106 = 61,106/x
3. Step 3: Cross multiply
   42,583x = 61,106 × 61,106
4. Step 4: Simplify right side
   42,583x = 3,733,943,236
5. Step 5: Solve for x
   x = 3,733,943,236/42,583
6. Step 6: Final answer
   x = 87,686.24