Finding the Third Proportional to 35,427 and 84,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,427 : 84,607.50 = 84,607.50 : x
2. Step 2: Convert to fraction form
   35,427/84,607.50 = 84,607.50/x
3. Step 3: Cross multiply
   35,427x = 84,607.50 × 84,607.50
4. Step 4: Simplify right side
   35,427x = 7,158,429,056.25
5. Step 5: Solve for x
   x = 7,158,429,056.25/35,427
6. Step 6: Final answer
   x = 202,061.40