Finding the Third Proportional to 32,005.13 and 47,185.88

Step by Step Solution

1. Step 1: Write the proportion equation
   32,005.13 : 47,185.88 = 47,185.88 : x
2. Step 2: Convert to fraction form
   32,005.13/47,185.88 = 47,185.88/x
3. Step 3: Cross multiply
   32,005.13x = 47,185.88 × 47,185.88
4. Step 4: Simplify right side
   32,005.13x = 2,226,506,799.52
5. Step 5: Solve for x
   x = 2,226,506,799.52/32,005.13
6. Step 6: Final answer
   x = 69,567.20