Finding the Third Proportional to 27,657 and 42,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,657 : 42,637.50 = 42,637.50 : x
2. Step 2: Convert to fraction form
   27,657/42,637.50 = 42,637.50/x
3. Step 3: Cross multiply
   27,657x = 42,637.50 × 42,637.50
4. Step 4: Simplify right side
   27,657x = 1,817,956,406.25
5. Step 5: Solve for x
   x = 1,817,956,406.25/27,657
6. Step 6: Final answer
   x = 65,732.23