Finding the Third Proportional to 42,570 and 64,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,570 : 64,447.50 = 64,447.50 : x
2. Step 2: Convert to fraction form
   42,570/64,447.50 = 64,447.50/x
3. Step 3: Cross multiply
   42,570x = 64,447.50 × 64,447.50
4. Step 4: Simplify right side
   42,570x = 4,153,480,256.25
5. Step 5: Solve for x
   x = 4,153,480,256.25/42,570
6. Step 6: Final answer
   x = 97,568.25