Finding the Third Proportional to 35,694 and 52,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,694 : 52,501.50 = 52,501.50 : x
2. Step 2: Convert to fraction form
   35,694/52,501.50 = 52,501.50/x
3. Step 3: Cross multiply
   35,694x = 52,501.50 × 52,501.50
4. Step 4: Simplify right side
   35,694x = 2,756,407,502.25
5. Step 5: Solve for x
   x = 2,756,407,502.25/35,694
6. Step 6: Final answer
   x = 77,223.27