Finding the Third Proportional to 32,619 and 47,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,619 : 47,971.50 = 47,971.50 : x
2. Step 2: Convert to fraction form
   32,619/47,971.50 = 47,971.50/x
3. Step 3: Cross multiply
   32,619x = 47,971.50 × 47,971.50
4. Step 4: Simplify right side
   32,619x = 2,301,264,812.25
5. Step 5: Solve for x
   x = 2,301,264,812.25/32,619
6. Step 6: Final answer
   x = 70,549.83