Finding the Third Proportional to 32,314.50 and 47,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,314.50 : 47,407.50 = 47,407.50 : x
2. Step 2: Convert to fraction form
   32,314.50/47,407.50 = 47,407.50/x
3. Step 3: Cross multiply
   32,314.50x = 47,407.50 × 47,407.50
4. Step 4: Simplify right side
   32,314.50x = 2,247,471,056.25
5. Step 5: Solve for x
   x = 2,247,471,056.25/32,314.50
6. Step 6: Final answer
   x = 69,549.93