Finding the Third Proportional to 32,000 and 46,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,000 : 46,856.50 = 46,856.50 : x
2. Step 2: Convert to fraction form
   32,000/46,856.50 = 46,856.50/x
3. Step 3: Cross multiply
   32,000x = 46,856.50 × 46,856.50
4. Step 4: Simplify right side
   32,000x = 2,195,531,592.25
5. Step 5: Solve for x
   x = 2,195,531,592.25/32,000
6. Step 6: Final answer
   x = 68,610.36