Finding the Third Proportional to 43,085 and 64,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,085 : 64,672.50 = 64,672.50 : x
2. Step 2: Convert to fraction form
   43,085/64,672.50 = 64,672.50/x
3. Step 3: Cross multiply
   43,085x = 64,672.50 × 64,672.50
4. Step 4: Simplify right side
   43,085x = 4,182,532,256.25
5. Step 5: Solve for x
   x = 4,182,532,256.25/43,085
6. Step 6: Final answer
   x = 97,076.30