Finding the Third Proportional to 30,516 and 64,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,516 : 64,312.50 = 64,312.50 : x
2. Step 2: Convert to fraction form
   30,516/64,312.50 = 64,312.50/x
3. Step 3: Cross multiply
   30,516x = 64,312.50 × 64,312.50
4. Step 4: Simplify right side
   30,516x = 4,136,097,656.25
5. Step 5: Solve for x
   x = 4,136,097,656.25/30,516
6. Step 6: Final answer
   x = 135,538.66