Finding the Third Proportional to 42,577.50 and 64,455

Step by Step Solution

1. Step 1: Write the proportion equation
   42,577.50 : 64,455 = 64,455 : x
2. Step 2: Convert to fraction form
   42,577.50/64,455 = 64,455/x
3. Step 3: Cross multiply
   42,577.50x = 64,455 × 64,455
4. Step 4: Simplify right side
   42,577.50x = 4,154,447,025
5. Step 5: Solve for x
   x = 4,154,447,025/42,577.50
6. Step 6: Final answer
   x = 97,573.77