Finding the Third Proportional to 27,982 and 61,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,982 : 61,476.50 = 61,476.50 : x
2. Step 2: Convert to fraction form
   27,982/61,476.50 = 61,476.50/x
3. Step 3: Cross multiply
   27,982x = 61,476.50 × 61,476.50
4. Step 4: Simplify right side
   27,982x = 3,779,360,052.25
5. Step 5: Solve for x
   x = 3,779,360,052.25/27,982
6. Step 6: Final answer
   x = 135,063.97