Finding the Third Proportional to 42,501 and 64,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,501 : 64,417.50 = 64,417.50 : x
2. Step 2: Convert to fraction form
   42,501/64,417.50 = 64,417.50/x
3. Step 3: Cross multiply
   42,501x = 64,417.50 × 64,417.50
4. Step 4: Simplify right side
   42,501x = 4,149,614,306.25
5. Step 5: Solve for x
   x = 4,149,614,306.25/42,501
6. Step 6: Final answer
   x = 97,635.69