Finding the Third Proportional to 61,200 and 82,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,200 : 82,372.50 = 82,372.50 : x
2. Step 2: Convert to fraction form
   61,200/82,372.50 = 82,372.50/x
3. Step 3: Cross multiply
   61,200x = 82,372.50 × 82,372.50
4. Step 4: Simplify right side
   61,200x = 6,785,228,756.25
5. Step 5: Solve for x
   x = 6,785,228,756.25/61,200
6. Step 6: Final answer
   x = 110,869.75