Finding the Third Proportional to 42,652 and 64,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,652 : 64,565.50 = 64,565.50 : x
2. Step 2: Convert to fraction form
   42,652/64,565.50 = 64,565.50/x
3. Step 3: Cross multiply
   42,652x = 64,565.50 × 64,565.50
4. Step 4: Simplify right side
   42,652x = 4,168,703,790.25
5. Step 5: Solve for x
   x = 4,168,703,790.25/42,652
6. Step 6: Final answer
   x = 97,737.59